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Finding the Fourth Proportional to 1,129.56, 1,559.10 and 663.96

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Solution

The fourth proportional to 1,129.56, 1,559.10 and 663.96 is: 916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.56 : 1,559.10 = 663.96 : x
  2. Step 2: Convert to fraction form
    1,129.56/1,559.10 = 663.96/x
  3. Step 3: Cross multiply
    1,129.56x = 1,559.10 × 663.96
  4. Step 4: Simplify right side
    1,129.56x = 1,035,180.04
  5. Step 5: Solve for x
    x = 1,035,180.04/1,129.56
  6. Step 6: Final answer
    x = 916.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.