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Finding the Fourth Proportional to 652.43, 899.89 and 403.87

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Solution

The fourth proportional to 652.43, 899.89 and 403.87 is: 557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.43 : 899.89 = 403.87 : x
  2. Step 2: Convert to fraction form
    652.43/899.89 = 403.87/x
  3. Step 3: Cross multiply
    652.43x = 899.89 × 403.87
  4. Step 4: Simplify right side
    652.43x = 363,438.57
  5. Step 5: Solve for x
    x = 363,438.57/652.43
  6. Step 6: Final answer
    x = 557.05

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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.