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Finding the Fourth Proportional to 613.88, 918.68 and 588.36

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Solution

The fourth proportional to 613.88, 918.68 and 588.36 is: 880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.88 : 918.68 = 588.36 : x
  2. Step 2: Convert to fraction form
    613.88/918.68 = 588.36/x
  3. Step 3: Cross multiply
    613.88x = 918.68 × 588.36
  4. Step 4: Simplify right side
    613.88x = 540,514.56
  5. Step 5: Solve for x
    x = 540,514.56/613.88
  6. Step 6: Final answer
    x = 880.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.