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Finding the Fourth Proportional to 807.81, 1,114.81 and 476.45

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Solution

The fourth proportional to 807.81, 1,114.81 and 476.45 is: 657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.81 : 1,114.81 = 476.45 : x
  2. Step 2: Convert to fraction form
    807.81/1,114.81 = 476.45/x
  3. Step 3: Cross multiply
    807.81x = 1,114.81 × 476.45
  4. Step 4: Simplify right side
    807.81x = 531,151.32
  5. Step 5: Solve for x
    x = 531,151.32/807.81
  6. Step 6: Final answer
    x = 657.52

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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.