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Finding the Fourth Proportional to 652.39, 900.21 and 372.74

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Solution

The fourth proportional to 652.39, 900.21 and 372.74 is: 514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.39 : 900.21 = 372.74 : x
  2. Step 2: Convert to fraction form
    652.39/900.21 = 372.74/x
  3. Step 3: Cross multiply
    652.39x = 900.21 × 372.74
  4. Step 4: Simplify right side
    652.39x = 335,541.17
  5. Step 5: Solve for x
    x = 335,541.17/652.39
  6. Step 6: Final answer
    x = 514.33

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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.