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Finding the Fourth Proportional to 575.40, 861.22 and 437.70

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Solution

The fourth proportional to 575.40, 861.22 and 437.70 is: 655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.40 : 861.22 = 437.70 : x
  2. Step 2: Convert to fraction form
    575.40/861.22 = 437.70/x
  3. Step 3: Cross multiply
    575.40x = 861.22 × 437.70
  4. Step 4: Simplify right side
    575.40x = 376,955.99
  5. Step 5: Solve for x
    x = 376,955.99/575.40
  6. Step 6: Final answer
    x = 655.12

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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.