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Finding the Fourth Proportional to 663.94, 915.18 and 523.84

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Solution

The fourth proportional to 663.94, 915.18 and 523.84 is: 722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.94 : 915.18 = 523.84 : x
  2. Step 2: Convert to fraction form
    663.94/915.18 = 523.84/x
  3. Step 3: Cross multiply
    663.94x = 915.18 × 523.84
  4. Step 4: Simplify right side
    663.94x = 479,407.89
  5. Step 5: Solve for x
    x = 479,407.89/663.94
  6. Step 6: Final answer
    x = 722.07

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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.