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Finding the Fourth Proportional to 917.98, 1,376.66 and 424.18

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Solution

The fourth proportional to 917.98, 1,376.66 and 424.18 is: 636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.98 : 1,376.66 = 424.18 : x
  2. Step 2: Convert to fraction form
    917.98/1,376.66 = 424.18/x
  3. Step 3: Cross multiply
    917.98x = 1,376.66 × 424.18
  4. Step 4: Simplify right side
    917.98x = 583,951.64
  5. Step 5: Solve for x
    x = 583,951.64/917.98
  6. Step 6: Final answer
    x = 636.13

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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.