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Finding the Fourth Proportional to 524.65, 723.99 and 288.58

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Solution

The fourth proportional to 524.65, 723.99 and 288.58 is: 398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 723.99 = 288.58 : x
  2. Step 2: Convert to fraction form
    524.65/723.99 = 288.58/x
  3. Step 3: Cross multiply
    524.65x = 723.99 × 288.58
  4. Step 4: Simplify right side
    524.65x = 208,929.03
  5. Step 5: Solve for x
    x = 208,929.03/524.65
  6. Step 6: Final answer
    x = 398.23

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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.