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Finding the Fourth Proportional to 1,038.12, 1,557.26 and 461

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Solution

The fourth proportional to 1,038.12, 1,557.26 and 461 is: 691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.12 : 1,557.26 = 461 : x
  2. Step 2: Convert to fraction form
    1,038.12/1,557.26 = 461/x
  3. Step 3: Cross multiply
    1,038.12x = 1,557.26 × 461
  4. Step 4: Simplify right side
    1,038.12x = 717,896.86
  5. Step 5: Solve for x
    x = 717,896.86/1,038.12
  6. Step 6: Final answer
    x = 691.54

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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.