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Finding the Fourth Proportional to 655.80, 977.27 and 598.20

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Solution

The fourth proportional to 655.80, 977.27 and 598.20 is: 891.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.80 : 977.27 = 598.20 : x
  2. Step 2: Convert to fraction form
    655.80/977.27 = 598.20/x
  3. Step 3: Cross multiply
    655.80x = 977.27 × 598.20
  4. Step 4: Simplify right side
    655.80x = 584,602.91
  5. Step 5: Solve for x
    x = 584,602.91/655.80
  6. Step 6: Final answer
    x = 891.43

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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.