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Finding the Fourth Proportional to 581.70, 865.77 and 579.90

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Solution

The fourth proportional to 581.70, 865.77 and 579.90 is: 863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.70 : 865.77 = 579.90 : x
  2. Step 2: Convert to fraction form
    581.70/865.77 = 579.90/x
  3. Step 3: Cross multiply
    581.70x = 865.77 × 579.90
  4. Step 4: Simplify right side
    581.70x = 502,060.02
  5. Step 5: Solve for x
    x = 502,060.02/581.70
  6. Step 6: Final answer
    x = 863.09

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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.