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Finding the Fourth Proportional to 1,038.95, 1,559 and 423.08

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Solution

The fourth proportional to 1,038.95, 1,559 and 423.08 is: 634.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,038.95 : 1,559 = 423.08 : x
  2. Step 2: Convert to fraction form
    1,038.95/1,559 = 423.08/x
  3. Step 3: Cross multiply
    1,038.95x = 1,559 × 423.08
  4. Step 4: Simplify right side
    1,038.95x = 659,581.72
  5. Step 5: Solve for x
    x = 659,581.72/1,038.95
  6. Step 6: Final answer
    x = 634.85

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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.