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Finding the Fourth Proportional to 765.24, 1,057 and 672.28

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Solution

The fourth proportional to 765.24, 1,057 and 672.28 is: 928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.24 : 1,057 = 672.28 : x
  2. Step 2: Convert to fraction form
    765.24/1,057 = 672.28/x
  3. Step 3: Cross multiply
    765.24x = 1,057 × 672.28
  4. Step 4: Simplify right side
    765.24x = 710,599.96
  5. Step 5: Solve for x
    x = 710,599.96/765.24
  6. Step 6: Final answer
    x = 928.60

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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.