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Finding the Fourth Proportional to 581.12, 797.61 and 517.52

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Solution

The fourth proportional to 581.12, 797.61 and 517.52 is: 710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.12 : 797.61 = 517.52 : x
  2. Step 2: Convert to fraction form
    581.12/797.61 = 517.52/x
  3. Step 3: Cross multiply
    581.12x = 797.61 × 517.52
  4. Step 4: Simplify right side
    581.12x = 412,779.13
  5. Step 5: Solve for x
    x = 412,779.13/581.12
  6. Step 6: Final answer
    x = 710.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.