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Finding the Fourth Proportional to 1,038.50, 1,557.86 and 422.11

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Solution

The fourth proportional to 1,038.50, 1,557.86 and 422.11 is: 633.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.50 : 1,557.86 = 422.11 : x
  2. Step 2: Convert to fraction form
    1,038.50/1,557.86 = 422.11/x
  3. Step 3: Cross multiply
    1,038.50x = 1,557.86 × 422.11
  4. Step 4: Simplify right side
    1,038.50x = 657,586.17
  5. Step 5: Solve for x
    x = 657,586.17/1,038.50
  6. Step 6: Final answer
    x = 633.21

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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.