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Finding the Fourth Proportional to 535.13, 738 and 416.87

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Solution

The fourth proportional to 535.13, 738 and 416.87 is: 574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.13 : 738 = 416.87 : x
  2. Step 2: Convert to fraction form
    535.13/738 = 416.87/x
  3. Step 3: Cross multiply
    535.13x = 738 × 416.87
  4. Step 4: Simplify right side
    535.13x = 307,646.37
  5. Step 5: Solve for x
    x = 307,646.37/535.13
  6. Step 6: Final answer
    x = 574.91

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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.