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Finding the Fourth Proportional to 765.68, 1,054.48 and 763.28

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Solution

The fourth proportional to 765.68, 1,054.48 and 763.28 is: 1,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.68 : 1,054.48 = 763.28 : x
  2. Step 2: Convert to fraction form
    765.68/1,054.48 = 763.28/x
  3. Step 3: Cross multiply
    765.68x = 1,054.48 × 763.28
  4. Step 4: Simplify right side
    765.68x = 804,863.49
  5. Step 5: Solve for x
    x = 804,863.49/765.68
  6. Step 6: Final answer
    x = 1,051.17

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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.