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Finding the Fourth Proportional to 807.90, 1,114.70 and 476.34

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Solution

The fourth proportional to 807.90, 1,114.70 and 476.34 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.90 : 1,114.70 = 476.34 : x
  2. Step 2: Convert to fraction form
    807.90/1,114.70 = 476.34/x
  3. Step 3: Cross multiply
    807.90x = 1,114.70 × 476.34
  4. Step 4: Simplify right side
    807.90x = 530,976.20
  5. Step 5: Solve for x
    x = 530,976.20/807.90
  6. Step 6: Final answer
    x = 657.23

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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.