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Finding the Fourth Proportional to 648.51, 972.61 and 258.38

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Solution

The fourth proportional to 648.51, 972.61 and 258.38 is: 387.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.51 : 972.61 = 258.38 : x
  2. Step 2: Convert to fraction form
    648.51/972.61 = 258.38/x
  3. Step 3: Cross multiply
    648.51x = 972.61 × 258.38
  4. Step 4: Simplify right side
    648.51x = 251,302.97
  5. Step 5: Solve for x
    x = 251,302.97/648.51
  6. Step 6: Final answer
    x = 387.51

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1.5x scale

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.