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Finding the Fourth Proportional to 655.20, 979.20 and 590.40

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Solution

The fourth proportional to 655.20, 979.20 and 590.40 is: 882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.20 : 979.20 = 590.40 : x
  2. Step 2: Convert to fraction form
    655.20/979.20 = 590.40/x
  3. Step 3: Cross multiply
    655.20x = 979.20 × 590.40
  4. Step 4: Simplify right side
    655.20x = 578,119.68
  5. Step 5: Solve for x
    x = 578,119.68/655.20
  6. Step 6: Final answer
    x = 882.36

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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.