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Finding the Fourth Proportional to 1,038.28, 1,557.15 and 389.20

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Solution

The fourth proportional to 1,038.28, 1,557.15 and 389.20 is: 583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.28 : 1,557.15 = 389.20 : x
  2. Step 2: Convert to fraction form
    1,038.28/1,557.15 = 389.20/x
  3. Step 3: Cross multiply
    1,038.28x = 1,557.15 × 389.20
  4. Step 4: Simplify right side
    1,038.28x = 606,042.78
  5. Step 5: Solve for x
    x = 606,042.78/1,038.28
  6. Step 6: Final answer
    x = 583.70

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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.