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Finding the Fourth Proportional to 663.42, 915.77 and 569.79

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Solution

The fourth proportional to 663.42, 915.77 and 569.79 is: 786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.42 : 915.77 = 569.79 : x
  2. Step 2: Convert to fraction form
    663.42/915.77 = 569.79/x
  3. Step 3: Cross multiply
    663.42x = 915.77 × 569.79
  4. Step 4: Simplify right side
    663.42x = 521,795.88
  5. Step 5: Solve for x
    x = 521,795.88/663.42
  6. Step 6: Final answer
    x = 786.52

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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.