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Finding the Fourth Proportional to 929.90, 1,393.47 and 861.56

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Solution

The fourth proportional to 929.90, 1,393.47 and 861.56 is: 1,291.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.90 : 1,393.47 = 861.56 : x
  2. Step 2: Convert to fraction form
    929.90/1,393.47 = 861.56/x
  3. Step 3: Cross multiply
    929.90x = 1,393.47 × 861.56
  4. Step 4: Simplify right side
    929.90x = 1,200,551.05
  5. Step 5: Solve for x
    x = 1,200,551.05/929.90
  6. Step 6: Final answer
    x = 1,291.06

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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.