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Finding the Fourth Proportional to 712.19, 981.76 and 562.56

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Solution

The fourth proportional to 712.19, 981.76 and 562.56 is: 775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.19 : 981.76 = 562.56 : x
  2. Step 2: Convert to fraction form
    712.19/981.76 = 562.56/x
  3. Step 3: Cross multiply
    712.19x = 981.76 × 562.56
  4. Step 4: Simplify right side
    712.19x = 552,298.91
  5. Step 5: Solve for x
    x = 552,298.91/712.19
  6. Step 6: Final answer
    x = 775.49

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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.