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Finding the Fourth Proportional to 1,038.82, 1,557.20 and 483.69

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Solution

The fourth proportional to 1,038.82, 1,557.20 and 483.69 is: 725.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.82 : 1,557.20 = 483.69 : x
  2. Step 2: Convert to fraction form
    1,038.82/1,557.20 = 483.69/x
  3. Step 3: Cross multiply
    1,038.82x = 1,557.20 × 483.69
  4. Step 4: Simplify right side
    1,038.82x = 753,202.07
  5. Step 5: Solve for x
    x = 753,202.07/1,038.82
  6. Step 6: Final answer
    x = 725.06

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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.