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Finding the Fourth Proportional to 652.91, 901.28 and 416.87

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Solution

The fourth proportional to 652.91, 901.28 and 416.87 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.91 : 901.28 = 416.87 : x
  2. Step 2: Convert to fraction form
    652.91/901.28 = 416.87/x
  3. Step 3: Cross multiply
    652.91x = 901.28 × 416.87
  4. Step 4: Simplify right side
    652.91x = 375,713.13
  5. Step 5: Solve for x
    x = 375,713.13/652.91
  6. Step 6: Final answer
    x = 575.44

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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.