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Finding the Fourth Proportional to 652.71, 900.89 and 431.70

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Solution

The fourth proportional to 652.71, 900.89 and 431.70 is: 595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.71 : 900.89 = 431.70 : x
  2. Step 2: Convert to fraction form
    652.71/900.89 = 431.70/x
  3. Step 3: Cross multiply
    652.71x = 900.89 × 431.70
  4. Step 4: Simplify right side
    652.71x = 388,914.21
  5. Step 5: Solve for x
    x = 388,914.21/652.71
  6. Step 6: Final answer
    x = 595.85

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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.