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Finding the Fourth Proportional to 655.99, 979.18 and 578.14

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Solution

The fourth proportional to 655.99, 979.18 and 578.14 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.99 : 979.18 = 578.14 : x
  2. Step 2: Convert to fraction form
    655.99/979.18 = 578.14/x
  3. Step 3: Cross multiply
    655.99x = 979.18 × 578.14
  4. Step 4: Simplify right side
    655.99x = 566,104.80
  5. Step 5: Solve for x
    x = 566,104.80/655.99
  6. Step 6: Final answer
    x = 862.98

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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.