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Finding the Fourth Proportional to 586.67, 809.87 and 513.77

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Solution

The fourth proportional to 586.67, 809.87 and 513.77 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.67 : 809.87 = 513.77 : x
  2. Step 2: Convert to fraction form
    586.67/809.87 = 513.77/x
  3. Step 3: Cross multiply
    586.67x = 809.87 × 513.77
  4. Step 4: Simplify right side
    586.67x = 416,080.29
  5. Step 5: Solve for x
    x = 416,080.29/586.67
  6. Step 6: Final answer
    x = 709.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.