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Finding the Fourth Proportional to 524.85, 724.02 and 407.60

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Solution

The fourth proportional to 524.85, 724.02 and 407.60 is: 562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.85 : 724.02 = 407.60 : x
  2. Step 2: Convert to fraction form
    524.85/724.02 = 407.60/x
  3. Step 3: Cross multiply
    524.85x = 724.02 × 407.60
  4. Step 4: Simplify right side
    524.85x = 295,106.93
  5. Step 5: Solve for x
    x = 295,106.93/524.85
  6. Step 6: Final answer
    x = 562.27

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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.