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Finding the Fourth Proportional to 765.80, 1,146.46 and 476.36

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Solution

The fourth proportional to 765.80, 1,146.46 and 476.36 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.80 : 1,146.46 = 476.36 : x
  2. Step 2: Convert to fraction form
    765.80/1,146.46 = 476.36/x
  3. Step 3: Cross multiply
    765.80x = 1,146.46 × 476.36
  4. Step 4: Simplify right side
    765.80x = 546,127.69
  5. Step 5: Solve for x
    x = 546,127.69/765.80
  6. Step 6: Final answer
    x = 713.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.