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Finding the Fourth Proportional to 524.65, 724.04 and 288.61

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Solution

The fourth proportional to 524.65, 724.04 and 288.61 is: 398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 724.04 = 288.61 : x
  2. Step 2: Convert to fraction form
    524.65/724.04 = 288.61/x
  3. Step 3: Cross multiply
    524.65x = 724.04 × 288.61
  4. Step 4: Simplify right side
    524.65x = 208,964.65
  5. Step 5: Solve for x
    x = 208,964.65/524.65
  6. Step 6: Final answer
    x = 398.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.