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Finding the Fourth Proportional to 524.59, 724.57 and 384.50

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Solution

The fourth proportional to 524.59, 724.57 and 384.50 is: 531.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.59 : 724.57 = 384.50 : x
  2. Step 2: Convert to fraction form
    524.59/724.57 = 384.50/x
  3. Step 3: Cross multiply
    524.59x = 724.57 × 384.50
  4. Step 4: Simplify right side
    524.59x = 278,598.02
  5. Step 5: Solve for x
    x = 278,598.02/524.59
  6. Step 6: Final answer
    x = 531.08

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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.