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Finding the Fourth Proportional to 612.97, 918.14 and 429.71

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Solution

The fourth proportional to 612.97, 918.14 and 429.71 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.97 : 918.14 = 429.71 : x
  2. Step 2: Convert to fraction form
    612.97/918.14 = 429.71/x
  3. Step 3: Cross multiply
    612.97x = 918.14 × 429.71
  4. Step 4: Simplify right side
    612.97x = 394,527.20
  5. Step 5: Solve for x
    x = 394,527.20/612.97
  6. Step 6: Final answer
    x = 643.63

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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.