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Finding the Fourth Proportional to 917.18, 1,376.51 and 478.57

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Solution

The fourth proportional to 917.18, 1,376.51 and 478.57 is: 718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.18 : 1,376.51 = 478.57 : x
  2. Step 2: Convert to fraction form
    917.18/1,376.51 = 478.57/x
  3. Step 3: Cross multiply
    917.18x = 1,376.51 × 478.57
  4. Step 4: Simplify right side
    917.18x = 658,754.15
  5. Step 5: Solve for x
    x = 658,754.15/917.18
  6. Step 6: Final answer
    x = 718.24

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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.