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Finding the Fourth Proportional to 586.92, 809.17 and 486.97

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Solution

The fourth proportional to 586.92, 809.17 and 486.97 is: 671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.92 : 809.17 = 486.97 : x
  2. Step 2: Convert to fraction form
    586.92/809.17 = 486.97/x
  3. Step 3: Cross multiply
    586.92x = 809.17 × 486.97
  4. Step 4: Simplify right side
    586.92x = 394,041.51
  5. Step 5: Solve for x
    x = 394,041.51/586.92
  6. Step 6: Final answer
    x = 671.37

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1.5x scale

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.