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Finding the Fourth Proportional to 535.48, 736.65 and 437.02

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Solution

The fourth proportional to 535.48, 736.65 and 437.02 is: 601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.48 : 736.65 = 437.02 : x
  2. Step 2: Convert to fraction form
    535.48/736.65 = 437.02/x
  3. Step 3: Cross multiply
    535.48x = 736.65 × 437.02
  4. Step 4: Simplify right side
    535.48x = 321,930.78
  5. Step 5: Solve for x
    x = 321,930.78/535.48
  6. Step 6: Final answer
    x = 601.20

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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.