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Finding the Fourth Proportional to 648.71, 972.51 and 258.46

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Solution

The fourth proportional to 648.71, 972.51 and 258.46 is: 387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 972.51 = 258.46 : x
  2. Step 2: Convert to fraction form
    648.71/972.51 = 258.46/x
  3. Step 3: Cross multiply
    648.71x = 972.51 × 258.46
  4. Step 4: Simplify right side
    648.71x = 251,354.93
  5. Step 5: Solve for x
    x = 251,354.93/648.71
  6. Step 6: Final answer
    x = 387.47

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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.