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Finding the Fourth Proportional to 807.70, 1,132.40 and 807.70

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Solution

The fourth proportional to 807.70, 1,132.40 and 807.70 is: 1,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.70 : 1,132.40 = 807.70 : x
  2. Step 2: Convert to fraction form
    807.70/1,132.40 = 807.70/x
  3. Step 3: Cross multiply
    807.70x = 1,132.40 × 807.70
  4. Step 4: Simplify right side
    807.70x = 914,639.48
  5. Step 5: Solve for x
    x = 914,639.48/807.70
  6. Step 6: Final answer
    x = 1,132.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.