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Finding the Fourth Proportional to 929.40, 1,392.72 and 861.06

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Solution

The fourth proportional to 929.40, 1,392.72 and 861.06 is: 1,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.40 : 1,392.72 = 861.06 : x
  2. Step 2: Convert to fraction form
    929.40/1,392.72 = 861.06/x
  3. Step 3: Cross multiply
    929.40x = 1,392.72 × 861.06
  4. Step 4: Simplify right side
    929.40x = 1,199,215.48
  5. Step 5: Solve for x
    x = 1,199,215.48/929.40
  6. Step 6: Final answer
    x = 1,290.31

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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.