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Finding the Fourth Proportional to 655.46, 978.39 and 569.39

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Solution

The fourth proportional to 655.46, 978.39 and 569.39 is: 849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.46 : 978.39 = 569.39 : x
  2. Step 2: Convert to fraction form
    655.46/978.39 = 569.39/x
  3. Step 3: Cross multiply
    655.46x = 978.39 × 569.39
  4. Step 4: Simplify right side
    655.46x = 557,082.64
  5. Step 5: Solve for x
    x = 557,082.64/655.46
  6. Step 6: Final answer
    x = 849.91

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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.