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Finding the Fourth Proportional to 1,038.90, 1,557.84 and 380.52

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Solution

The fourth proportional to 1,038.90, 1,557.84 and 380.52 is: 570.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.90 : 1,557.84 = 380.52 : x
  2. Step 2: Convert to fraction form
    1,038.90/1,557.84 = 380.52/x
  3. Step 3: Cross multiply
    1,038.90x = 1,557.84 × 380.52
  4. Step 4: Simplify right side
    1,038.90x = 592,789.28
  5. Step 5: Solve for x
    x = 592,789.28/1,038.90
  6. Step 6: Final answer
    x = 570.59

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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.