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Finding the Fourth Proportional to 524.98, 723.40 and 406.23

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Solution

The fourth proportional to 524.98, 723.40 and 406.23 is: 559.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.98 : 723.40 = 406.23 : x
  2. Step 2: Convert to fraction form
    524.98/723.40 = 406.23/x
  3. Step 3: Cross multiply
    524.98x = 723.40 × 406.23
  4. Step 4: Simplify right side
    524.98x = 293,869.61
  5. Step 5: Solve for x
    x = 293,869.61/524.98
  6. Step 6: Final answer
    x = 559.77

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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.