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Finding the Fourth Proportional to 750.78, 1,036.13 and 517.50

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Solution

The fourth proportional to 750.78, 1,036.13 and 517.50 is: 714.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.78 : 1,036.13 = 517.50 : x
  2. Step 2: Convert to fraction form
    750.78/1,036.13 = 517.50/x
  3. Step 3: Cross multiply
    750.78x = 1,036.13 × 517.50
  4. Step 4: Simplify right side
    750.78x = 536,194.69
  5. Step 5: Solve for x
    x = 536,194.69/750.78
  6. Step 6: Final answer
    x = 714.18

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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.