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Finding the Fourth Proportional to 524.64, 724.02 and 288.58

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Solution

The fourth proportional to 524.64, 724.02 and 288.58 is: 398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.64 : 724.02 = 288.58 : x
  2. Step 2: Convert to fraction form
    524.64/724.02 = 288.58/x
  3. Step 3: Cross multiply
    524.64x = 724.02 × 288.58
  4. Step 4: Simplify right side
    524.64x = 208,935.88
  5. Step 5: Solve for x
    x = 208,935.88/524.64
  6. Step 6: Final answer
    x = 398.25

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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.