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Finding the Fourth Proportional to 438.34, 656.87 and 402.55

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Solution

The fourth proportional to 438.34, 656.87 and 402.55 is: 603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.34 : 656.87 = 402.55 : x
  2. Step 2: Convert to fraction form
    438.34/656.87 = 402.55/x
  3. Step 3: Cross multiply
    438.34x = 656.87 × 402.55
  4. Step 4: Simplify right side
    438.34x = 264,423.02
  5. Step 5: Solve for x
    x = 264,423.02/438.34
  6. Step 6: Final answer
    x = 603.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.