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Finding the Fourth Proportional to 663.49, 990.73 and 524.98

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Solution

The fourth proportional to 663.49, 990.73 and 524.98 is: 783.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.49 : 990.73 = 524.98 : x
  2. Step 2: Convert to fraction form
    663.49/990.73 = 524.98/x
  3. Step 3: Cross multiply
    663.49x = 990.73 × 524.98
  4. Step 4: Simplify right side
    663.49x = 520,115.33
  5. Step 5: Solve for x
    x = 520,115.33/663.49
  6. Step 6: Final answer
    x = 783.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.