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Finding the Fourth Proportional to 1,038.57, 1,557.37 and 576.19

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Solution

The fourth proportional to 1,038.57, 1,557.37 and 576.19 is: 864.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.57 : 1,557.37 = 576.19 : x
  2. Step 2: Convert to fraction form
    1,038.57/1,557.37 = 576.19/x
  3. Step 3: Cross multiply
    1,038.57x = 1,557.37 × 576.19
  4. Step 4: Simplify right side
    1,038.57x = 897,341.02
  5. Step 5: Solve for x
    x = 897,341.02/1,038.57
  6. Step 6: Final answer
    x = 864.02

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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.