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Finding the Fourth Proportional to 588.65, 879.08 and 506.63

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Solution

The fourth proportional to 588.65, 879.08 and 506.63 is: 756.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.65 : 879.08 = 506.63 : x
  2. Step 2: Convert to fraction form
    588.65/879.08 = 506.63/x
  3. Step 3: Cross multiply
    588.65x = 879.08 × 506.63
  4. Step 4: Simplify right side
    588.65x = 445,367.96
  5. Step 5: Solve for x
    x = 445,367.96/588.65
  6. Step 6: Final answer
    x = 756.60

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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.