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Finding the Fourth Proportional to 660.78, 909.99 and 586.62

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Solution

The fourth proportional to 660.78, 909.99 and 586.62 is: 807.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.78 : 909.99 = 586.62 : x
  2. Step 2: Convert to fraction form
    660.78/909.99 = 586.62/x
  3. Step 3: Cross multiply
    660.78x = 909.99 × 586.62
  4. Step 4: Simplify right side
    660.78x = 533,818.33
  5. Step 5: Solve for x
    x = 533,818.33/660.78
  6. Step 6: Final answer
    x = 807.86

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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.