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Finding the Fourth Proportional to 704.53, 971.67 and 515.71

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Solution

The fourth proportional to 704.53, 971.67 and 515.71 is: 711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.53 : 971.67 = 515.71 : x
  2. Step 2: Convert to fraction form
    704.53/971.67 = 515.71/x
  3. Step 3: Cross multiply
    704.53x = 971.67 × 515.71
  4. Step 4: Simplify right side
    704.53x = 501,097.36
  5. Step 5: Solve for x
    x = 501,097.36/704.53
  6. Step 6: Final answer
    x = 711.25

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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.