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Finding the Fourth Proportional to 1,284.23, 1,772.23 and 694.76

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Solution

The fourth proportional to 1,284.23, 1,772.23 and 694.76 is: 958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.23 : 1,772.23 = 694.76 : x
  2. Step 2: Convert to fraction form
    1,284.23/1,772.23 = 694.76/x
  3. Step 3: Cross multiply
    1,284.23x = 1,772.23 × 694.76
  4. Step 4: Simplify right side
    1,284.23x = 1,231,271.04
  5. Step 5: Solve for x
    x = 1,231,271.04/1,284.23
  6. Step 6: Final answer
    x = 958.77

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Half scale
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Double scale
Find fourth proportional to 1,285.23, 1,773.60 and 695.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.