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Finding the Fourth Proportional to 665.43, 918.70 and 429.49

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Solution

The fourth proportional to 665.43, 918.70 and 429.49 is: 592.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.43 : 918.70 = 429.49 : x
  2. Step 2: Convert to fraction form
    665.43/918.70 = 429.49/x
  3. Step 3: Cross multiply
    665.43x = 918.70 × 429.49
  4. Step 4: Simplify right side
    665.43x = 394,572.46
  5. Step 5: Solve for x
    x = 394,572.46/665.43
  6. Step 6: Final answer
    x = 592.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.