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Finding the Fourth Proportional to 449.18, 669.10 and 424.34

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Solution

The fourth proportional to 449.18, 669.10 and 424.34 is: 632.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.18 : 669.10 = 424.34 : x
  2. Step 2: Convert to fraction form
    449.18/669.10 = 424.34/x
  3. Step 3: Cross multiply
    449.18x = 669.10 × 424.34
  4. Step 4: Simplify right side
    449.18x = 283,925.89
  5. Step 5: Solve for x
    x = 283,925.89/449.18
  6. Step 6: Final answer
    x = 632.10

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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.