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Finding the Fourth Proportional to 586.72, 805.38 and 519.76

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Solution

The fourth proportional to 586.72, 805.38 and 519.76 is: 713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 805.38 = 519.76 : x
  2. Step 2: Convert to fraction form
    586.72/805.38 = 519.76/x
  3. Step 3: Cross multiply
    586.72x = 805.38 × 519.76
  4. Step 4: Simplify right side
    586.72x = 418,604.31
  5. Step 5: Solve for x
    x = 418,604.31/586.72
  6. Step 6: Final answer
    x = 713.47

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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.