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Finding the Fourth Proportional to 1,038.83, 1,557.53 and 491.47

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Solution

The fourth proportional to 1,038.83, 1,557.53 and 491.47 is: 736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.83 : 1,557.53 = 491.47 : x
  2. Step 2: Convert to fraction form
    1,038.83/1,557.53 = 491.47/x
  3. Step 3: Cross multiply
    1,038.83x = 1,557.53 × 491.47
  4. Step 4: Simplify right side
    1,038.83x = 765,474.76
  5. Step 5: Solve for x
    x = 765,474.76/1,038.83
  6. Step 6: Final answer
    x = 736.87

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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.