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Finding the Fourth Proportional to 807.32, 1,114.02 and 597.62

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Solution

The fourth proportional to 807.32, 1,114.02 and 597.62 is: 824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.32 : 1,114.02 = 597.62 : x
  2. Step 2: Convert to fraction form
    807.32/1,114.02 = 597.62/x
  3. Step 3: Cross multiply
    807.32x = 1,114.02 × 597.62
  4. Step 4: Simplify right side
    807.32x = 665,760.63
  5. Step 5: Solve for x
    x = 665,760.63/807.32
  6. Step 6: Final answer
    x = 824.66

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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.