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Finding the Fourth Proportional to 712.02, 981.05 and 515.19

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Solution

The fourth proportional to 712.02, 981.05 and 515.19 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.02 : 981.05 = 515.19 : x
  2. Step 2: Convert to fraction form
    712.02/981.05 = 515.19/x
  3. Step 3: Cross multiply
    712.02x = 981.05 × 515.19
  4. Step 4: Simplify right side
    712.02x = 505,423.53
  5. Step 5: Solve for x
    x = 505,423.53/712.02
  6. Step 6: Final answer
    x = 709.85

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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.