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Finding the Fourth Proportional to 714.71, 986.36 and 515.70

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Solution

The fourth proportional to 714.71, 986.36 and 515.70 is: 711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.71 : 986.36 = 515.70 : x
  2. Step 2: Convert to fraction form
    714.71/986.36 = 515.70/x
  3. Step 3: Cross multiply
    714.71x = 986.36 × 515.70
  4. Step 4: Simplify right side
    714.71x = 508,667.14
  5. Step 5: Solve for x
    x = 508,667.14/714.71
  6. Step 6: Final answer
    x = 711.72

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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.