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Finding the Fourth Proportional to 977.71, 1,348.81 and 628.33

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Solution

The fourth proportional to 977.71, 1,348.81 and 628.33 is: 866.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.71 : 1,348.81 = 628.33 : x
  2. Step 2: Convert to fraction form
    977.71/1,348.81 = 628.33/x
  3. Step 3: Cross multiply
    977.71x = 1,348.81 × 628.33
  4. Step 4: Simplify right side
    977.71x = 847,497.79
  5. Step 5: Solve for x
    x = 847,497.79/977.71
  6. Step 6: Final answer
    x = 866.82

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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.