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Finding the Fourth Proportional to 1,038.18, 1,556.16 and 489.90

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Solution

The fourth proportional to 1,038.18, 1,556.16 and 489.90 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.18 : 1,556.16 = 489.90 : x
  2. Step 2: Convert to fraction form
    1,038.18/1,556.16 = 489.90/x
  3. Step 3: Cross multiply
    1,038.18x = 1,556.16 × 489.90
  4. Step 4: Simplify right side
    1,038.18x = 762,362.78
  5. Step 5: Solve for x
    x = 762,362.78/1,038.18
  6. Step 6: Final answer
    x = 734.33

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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.