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Finding the Fourth Proportional to 647.88, 972.44 and 431.61

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Solution

The fourth proportional to 647.88, 972.44 and 431.61 is: 647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.88 : 972.44 = 431.61 : x
  2. Step 2: Convert to fraction form
    647.88/972.44 = 431.61/x
  3. Step 3: Cross multiply
    647.88x = 972.44 × 431.61
  4. Step 4: Simplify right side
    647.88x = 419,712.67
  5. Step 5: Solve for x
    x = 419,712.67/647.88
  6. Step 6: Final answer
    x = 647.82

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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.