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Finding the Fourth Proportional to 765.03, 1,054.18 and 630.78

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Solution

The fourth proportional to 765.03, 1,054.18 and 630.78 is: 869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.03 : 1,054.18 = 630.78 : x
  2. Step 2: Convert to fraction form
    765.03/1,054.18 = 630.78/x
  3. Step 3: Cross multiply
    765.03x = 1,054.18 × 630.78
  4. Step 4: Simplify right side
    765.03x = 664,955.66
  5. Step 5: Solve for x
    x = 664,955.66/765.03
  6. Step 6: Final answer
    x = 869.19

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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.