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Finding the Fourth Proportional to 1,038.58, 1,557.88 and 489.20

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Solution

The fourth proportional to 1,038.58, 1,557.88 and 489.20 is: 733.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.58 : 1,557.88 = 489.20 : x
  2. Step 2: Convert to fraction form
    1,038.58/1,557.88 = 489.20/x
  3. Step 3: Cross multiply
    1,038.58x = 1,557.88 × 489.20
  4. Step 4: Simplify right side
    1,038.58x = 762,114.90
  5. Step 5: Solve for x
    x = 762,114.90/1,038.58
  6. Step 6: Final answer
    x = 733.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.