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Finding the Fourth Proportional to 697.71, 1,047.06 and 515.59

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Solution

The fourth proportional to 697.71, 1,047.06 and 515.59 is: 773.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.71 : 1,047.06 = 515.59 : x
  2. Step 2: Convert to fraction form
    697.71/1,047.06 = 515.59/x
  3. Step 3: Cross multiply
    697.71x = 1,047.06 × 515.59
  4. Step 4: Simplify right side
    697.71x = 539,851.09
  5. Step 5: Solve for x
    x = 539,851.09/697.71
  6. Step 6: Final answer
    x = 773.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.