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Finding the Fourth Proportional to 478.62, 717.89 and 153.99

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Solution

The fourth proportional to 478.62, 717.89 and 153.99 is: 230.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.62 : 717.89 = 153.99 : x
  2. Step 2: Convert to fraction form
    478.62/717.89 = 153.99/x
  3. Step 3: Cross multiply
    478.62x = 717.89 × 153.99
  4. Step 4: Simplify right side
    478.62x = 110,547.11
  5. Step 5: Solve for x
    x = 110,547.11/478.62
  6. Step 6: Final answer
    x = 230.97

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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.