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Finding the Fourth Proportional to 524.66, 723.77 and 407.42

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Solution

The fourth proportional to 524.66, 723.77 and 407.42 is: 562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.66 : 723.77 = 407.42 : x
  2. Step 2: Convert to fraction form
    524.66/723.77 = 407.42/x
  3. Step 3: Cross multiply
    524.66x = 723.77 × 407.42
  4. Step 4: Simplify right side
    524.66x = 294,872.72
  5. Step 5: Solve for x
    x = 294,872.72/524.66
  6. Step 6: Final answer
    x = 562.03

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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.