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Finding the Fourth Proportional to 478, 717.18 and 438.04

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Solution

The fourth proportional to 478, 717.18 and 438.04 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 717.18 = 438.04 : x
  2. Step 2: Convert to fraction form
    478/717.18 = 438.04/x
  3. Step 3: Cross multiply
    478x = 717.18 × 438.04
  4. Step 4: Simplify right side
    478x = 314,153.53
  5. Step 5: Solve for x
    x = 314,153.53/478
  6. Step 6: Final answer
    x = 657.22

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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.