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Finding the Fourth Proportional to 917.71, 1,374.94 and 485.17

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Solution

The fourth proportional to 917.71, 1,374.94 and 485.17 is: 726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.71 : 1,374.94 = 485.17 : x
  2. Step 2: Convert to fraction form
    917.71/1,374.94 = 485.17/x
  3. Step 3: Cross multiply
    917.71x = 1,374.94 × 485.17
  4. Step 4: Simplify right side
    917.71x = 667,079.64
  5. Step 5: Solve for x
    x = 667,079.64/917.71
  6. Step 6: Final answer
    x = 726.90

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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.