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Finding the Fourth Proportional to 925.70, 1,387.06 and 648.58

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Solution

The fourth proportional to 925.70, 1,387.06 and 648.58 is: 971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.70 : 1,387.06 = 648.58 : x
  2. Step 2: Convert to fraction form
    925.70/1,387.06 = 648.58/x
  3. Step 3: Cross multiply
    925.70x = 1,387.06 × 648.58
  4. Step 4: Simplify right side
    925.70x = 899,619.37
  5. Step 5: Solve for x
    x = 899,619.37/925.70
  6. Step 6: Final answer
    x = 971.83

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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.