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Finding the Fourth Proportional to 524.66, 724.38 and 406.43

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Solution

The fourth proportional to 524.66, 724.38 and 406.43 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 724.38 = 406.43 : x
  2. Step 2: Convert to fraction form
    524.66/724.38 = 406.43/x
  3. Step 3: Cross multiply
    524.66x = 724.38 × 406.43
  4. Step 4: Simplify right side
    524.66x = 294,409.76
  5. Step 5: Solve for x
    x = 294,409.76/524.66
  6. Step 6: Final answer
    x = 561.14

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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.