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Finding the Fourth Proportional to 1,105.70, 1,526.19 and 807.11

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Solution

The fourth proportional to 1,105.70, 1,526.19 and 807.11 is: 1,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.70 : 1,526.19 = 807.11 : x
  2. Step 2: Convert to fraction form
    1,105.70/1,526.19 = 807.11/x
  3. Step 3: Cross multiply
    1,105.70x = 1,526.19 × 807.11
  4. Step 4: Simplify right side
    1,105.70x = 1,231,811.40
  5. Step 5: Solve for x
    x = 1,231,811.40/1,105.70
  6. Step 6: Final answer
    x = 1,114.06

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Half scale
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Double scale
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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.