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Finding the Fourth Proportional to 449.29, 669.52 and 434.61

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Solution

The fourth proportional to 449.29, 669.52 and 434.61 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.29 : 669.52 = 434.61 : x
  2. Step 2: Convert to fraction form
    449.29/669.52 = 434.61/x
  3. Step 3: Cross multiply
    449.29x = 669.52 × 434.61
  4. Step 4: Simplify right side
    449.29x = 290,980.63
  5. Step 5: Solve for x
    x = 290,980.63/449.29
  6. Step 6: Final answer
    x = 647.64

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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.