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Finding the Fourth Proportional to 710.54, 981.42 and 513.74

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Solution

The fourth proportional to 710.54, 981.42 and 513.74 is: 709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.54 : 981.42 = 513.74 : x
  2. Step 2: Convert to fraction form
    710.54/981.42 = 513.74/x
  3. Step 3: Cross multiply
    710.54x = 981.42 × 513.74
  4. Step 4: Simplify right side
    710.54x = 504,194.71
  5. Step 5: Solve for x
    x = 504,194.71/710.54
  6. Step 6: Final answer
    x = 709.59

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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.