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Finding the Fourth Proportional to 917.72, 1,376.42 and 423.98

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Solution

The fourth proportional to 917.72, 1,376.42 and 423.98 is: 635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.72 : 1,376.42 = 423.98 : x
  2. Step 2: Convert to fraction form
    917.72/1,376.42 = 423.98/x
  3. Step 3: Cross multiply
    917.72x = 1,376.42 × 423.98
  4. Step 4: Simplify right side
    917.72x = 583,565.55
  5. Step 5: Solve for x
    x = 583,565.55/917.72
  6. Step 6: Final answer
    x = 635.89

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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.