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Finding the Fourth Proportional to 524.63, 724.01 and 291.75

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Solution

The fourth proportional to 524.63, 724.01 and 291.75 is: 402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.63 : 724.01 = 291.75 : x
  2. Step 2: Convert to fraction form
    524.63/724.01 = 291.75/x
  3. Step 3: Cross multiply
    524.63x = 724.01 × 291.75
  4. Step 4: Simplify right side
    524.63x = 211,228.46
  5. Step 5: Solve for x
    x = 211,228.46/524.63
  6. Step 6: Final answer
    x = 402.63

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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.