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Finding the Fourth Proportional to 661.33, 912.75 and 591.76

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Solution

The fourth proportional to 661.33, 912.75 and 591.76 is: 816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.33 : 912.75 = 591.76 : x
  2. Step 2: Convert to fraction form
    661.33/912.75 = 591.76/x
  3. Step 3: Cross multiply
    661.33x = 912.75 × 591.76
  4. Step 4: Simplify right side
    661.33x = 540,128.94
  5. Step 5: Solve for x
    x = 540,128.94/661.33
  6. Step 6: Final answer
    x = 816.73

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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.