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Finding the Fourth Proportional to 536.89, 743.02 and 527.78

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Solution

The fourth proportional to 536.89, 743.02 and 527.78 is: 730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.89 : 743.02 = 527.78 : x
  2. Step 2: Convert to fraction form
    536.89/743.02 = 527.78/x
  3. Step 3: Cross multiply
    536.89x = 743.02 × 527.78
  4. Step 4: Simplify right side
    536.89x = 392,148.46
  5. Step 5: Solve for x
    x = 392,148.46/536.89
  6. Step 6: Final answer
    x = 730.40

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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.