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Finding the Fourth Proportional to 586.40, 814.82 and 579.44

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Solution

The fourth proportional to 586.40, 814.82 and 579.44 is: 805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 814.82 = 579.44 : x
  2. Step 2: Convert to fraction form
    586.40/814.82 = 579.44/x
  3. Step 3: Cross multiply
    586.40x = 814.82 × 579.44
  4. Step 4: Simplify right side
    586.40x = 472,139.30
  5. Step 5: Solve for x
    x = 472,139.30/586.40
  6. Step 6: Final answer
    x = 805.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.