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Finding the Fourth Proportional to 524.65, 727.77 and 496.98

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Solution

The fourth proportional to 524.65, 727.77 and 496.98 is: 689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.65 : 727.77 = 496.98 : x
  2. Step 2: Convert to fraction form
    524.65/727.77 = 496.98/x
  3. Step 3: Cross multiply
    524.65x = 727.77 × 496.98
  4. Step 4: Simplify right side
    524.65x = 361,687.13
  5. Step 5: Solve for x
    x = 361,687.13/524.65
  6. Step 6: Final answer
    x = 689.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.