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Finding the Fourth Proportional to 648.93, 972.99 and 429.30

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Solution

The fourth proportional to 648.93, 972.99 and 429.30 is: 643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.93 : 972.99 = 429.30 : x
  2. Step 2: Convert to fraction form
    648.93/972.99 = 429.30/x
  3. Step 3: Cross multiply
    648.93x = 972.99 × 429.30
  4. Step 4: Simplify right side
    648.93x = 417,704.61
  5. Step 5: Solve for x
    x = 417,704.61/648.93
  6. Step 6: Final answer
    x = 643.68

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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.