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Finding the Fourth Proportional to 449.89, 678.05 and 424.77

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Solution

The fourth proportional to 449.89, 678.05 and 424.77 is: 640.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.89 : 678.05 = 424.77 : x
  2. Step 2: Convert to fraction form
    449.89/678.05 = 424.77/x
  3. Step 3: Cross multiply
    449.89x = 678.05 × 424.77
  4. Step 4: Simplify right side
    449.89x = 288,011.91
  5. Step 5: Solve for x
    x = 288,011.91/449.89
  6. Step 6: Final answer
    x = 640.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.