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Finding the Fourth Proportional to 661.86, 913.91 and 591.80

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Solution

The fourth proportional to 661.86, 913.91 and 591.80 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.86 : 913.91 = 591.80 : x
  2. Step 2: Convert to fraction form
    661.86/913.91 = 591.80/x
  3. Step 3: Cross multiply
    661.86x = 913.91 × 591.80
  4. Step 4: Simplify right side
    661.86x = 540,844.41
  5. Step 5: Solve for x
    x = 540,844.41/661.86
  6. Step 6: Final answer
    x = 817.16

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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.