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Finding the Fourth Proportional to 647.41, 892.87 and 437.53

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Solution

The fourth proportional to 647.41, 892.87 and 437.53 is: 603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.41 : 892.87 = 437.53 : x
  2. Step 2: Convert to fraction form
    647.41/892.87 = 437.53/x
  3. Step 3: Cross multiply
    647.41x = 892.87 × 437.53
  4. Step 4: Simplify right side
    647.41x = 390,657.41
  5. Step 5: Solve for x
    x = 390,657.41/647.41
  6. Step 6: Final answer
    x = 603.42

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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.