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Finding the Fourth Proportional to 652.14, 900.18 and 403.88

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Solution

The fourth proportional to 652.14, 900.18 and 403.88 is: 557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 900.18 = 403.88 : x
  2. Step 2: Convert to fraction form
    652.14/900.18 = 403.88/x
  3. Step 3: Cross multiply
    652.14x = 900.18 × 403.88
  4. Step 4: Simplify right side
    652.14x = 363,564.70
  5. Step 5: Solve for x
    x = 363,564.70/652.14
  6. Step 6: Final answer
    x = 557.49

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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.