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Finding the Fourth Proportional to 1,038.20, 1,559.10 and 732.20

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Solution

The fourth proportional to 1,038.20, 1,559.10 and 732.20 is: 1,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.20 : 1,559.10 = 732.20 : x
  2. Step 2: Convert to fraction form
    1,038.20/1,559.10 = 732.20/x
  3. Step 3: Cross multiply
    1,038.20x = 1,559.10 × 732.20
  4. Step 4: Simplify right side
    1,038.20x = 1,141,573.02
  5. Step 5: Solve for x
    x = 1,141,573.02/1,038.20
  6. Step 6: Final answer
    x = 1,099.57

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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.