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Finding the Fourth Proportional to 524.98, 724.47 and 288.94

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Solution

The fourth proportional to 524.98, 724.47 and 288.94 is: 398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.98 : 724.47 = 288.94 : x
  2. Step 2: Convert to fraction form
    524.98/724.47 = 288.94/x
  3. Step 3: Cross multiply
    524.98x = 724.47 × 288.94
  4. Step 4: Simplify right side
    524.98x = 209,328.36
  5. Step 5: Solve for x
    x = 209,328.36/524.98
  6. Step 6: Final answer
    x = 398.74

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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.