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Finding the Fourth Proportional to 649.49, 973.31 and 429.74

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Solution

The fourth proportional to 649.49, 973.31 and 429.74 is: 644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.49 : 973.31 = 429.74 : x
  2. Step 2: Convert to fraction form
    649.49/973.31 = 429.74/x
  3. Step 3: Cross multiply
    649.49x = 973.31 × 429.74
  4. Step 4: Simplify right side
    649.49x = 418,266.87
  5. Step 5: Solve for x
    x = 418,266.87/649.49
  6. Step 6: Final answer
    x = 644.00

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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.