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Finding the Fourth Proportional to 1,038.43, 1,557.61 and 308.01

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Solution

The fourth proportional to 1,038.43, 1,557.61 and 308.01 is: 462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.43 : 1,557.61 = 308.01 : x
  2. Step 2: Convert to fraction form
    1,038.43/1,557.61 = 308.01/x
  3. Step 3: Cross multiply
    1,038.43x = 1,557.61 × 308.01
  4. Step 4: Simplify right side
    1,038.43x = 479,759.46
  5. Step 5: Solve for x
    x = 479,759.46/1,038.43
  6. Step 6: Final answer
    x = 462.00

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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.