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Finding the Fourth Proportional to 660.70, 909.21 and 586.18

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Solution

The fourth proportional to 660.70, 909.21 and 586.18 is: 806.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.70 : 909.21 = 586.18 : x
  2. Step 2: Convert to fraction form
    660.70/909.21 = 586.18/x
  3. Step 3: Cross multiply
    660.70x = 909.21 × 586.18
  4. Step 4: Simplify right side
    660.70x = 532,960.72
  5. Step 5: Solve for x
    x = 532,960.72/660.70
  6. Step 6: Final answer
    x = 806.66

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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.