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Finding the Fourth Proportional to 765.80, 1,056.66 and 471.32

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Solution

The fourth proportional to 765.80, 1,056.66 and 471.32 is: 650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.80 : 1,056.66 = 471.32 : x
  2. Step 2: Convert to fraction form
    765.80/1,056.66 = 471.32/x
  3. Step 3: Cross multiply
    765.80x = 1,056.66 × 471.32
  4. Step 4: Simplify right side
    765.80x = 498,024.99
  5. Step 5: Solve for x
    x = 498,024.99/765.80
  6. Step 6: Final answer
    x = 650.33

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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.