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Finding the Fourth Proportional to 712.10, 981.77 and 502.52

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Solution

The fourth proportional to 712.10, 981.77 and 502.52 is: 692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.10 : 981.77 = 502.52 : x
  2. Step 2: Convert to fraction form
    712.10/981.77 = 502.52/x
  3. Step 3: Cross multiply
    712.10x = 981.77 × 502.52
  4. Step 4: Simplify right side
    712.10x = 493,351.64
  5. Step 5: Solve for x
    x = 493,351.64/712.10
  6. Step 6: Final answer
    x = 692.81

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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.