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Finding the Fourth Proportional to 649.89, 971.10 and 442.74

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Solution

The fourth proportional to 649.89, 971.10 and 442.74 is: 661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.89 : 971.10 = 442.74 : x
  2. Step 2: Convert to fraction form
    649.89/971.10 = 442.74/x
  3. Step 3: Cross multiply
    649.89x = 971.10 × 442.74
  4. Step 4: Simplify right side
    649.89x = 429,944.81
  5. Step 5: Solve for x
    x = 429,944.81/649.89
  6. Step 6: Final answer
    x = 661.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.