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Finding the Fourth Proportional to 835.77, 1,253.25 and 287.76

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Solution

The fourth proportional to 835.77, 1,253.25 and 287.76 is: 431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.77 : 1,253.25 = 287.76 : x
  2. Step 2: Convert to fraction form
    835.77/1,253.25 = 287.76/x
  3. Step 3: Cross multiply
    835.77x = 1,253.25 × 287.76
  4. Step 4: Simplify right side
    835.77x = 360,635.22
  5. Step 5: Solve for x
    x = 360,635.22/835.77
  6. Step 6: Final answer
    x = 431.50

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.