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Finding the Fourth Proportional to 712.42, 981.66 and 555.10

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Solution

The fourth proportional to 712.42, 981.66 and 555.10 is: 764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 981.66 = 555.10 : x
  2. Step 2: Convert to fraction form
    712.42/981.66 = 555.10/x
  3. Step 3: Cross multiply
    712.42x = 981.66 × 555.10
  4. Step 4: Simplify right side
    712.42x = 544,919.47
  5. Step 5: Solve for x
    x = 544,919.47/712.42
  6. Step 6: Final answer
    x = 764.89

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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.