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Finding the Fourth Proportional to 680.97, 939.51 and 471.07

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Solution

The fourth proportional to 680.97, 939.51 and 471.07 is: 649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.97 : 939.51 = 471.07 : x
  2. Step 2: Convert to fraction form
    680.97/939.51 = 471.07/x
  3. Step 3: Cross multiply
    680.97x = 939.51 × 471.07
  4. Step 4: Simplify right side
    680.97x = 442,570.27
  5. Step 5: Solve for x
    x = 442,570.27/680.97
  6. Step 6: Final answer
    x = 649.91

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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.