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Finding the Fourth Proportional to 655.27, 977.60 and 589.66

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Solution

The fourth proportional to 655.27, 977.60 and 589.66 is: 879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.27 : 977.60 = 589.66 : x
  2. Step 2: Convert to fraction form
    655.27/977.60 = 589.66/x
  3. Step 3: Cross multiply
    655.27x = 977.60 × 589.66
  4. Step 4: Simplify right side
    655.27x = 576,450.65
  5. Step 5: Solve for x
    x = 576,450.65/655.27
  6. Step 6: Final answer
    x = 879.72

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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.