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Finding the Fourth Proportional to 977.80, 1,348.68 and 628.60

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Solution

The fourth proportional to 977.80, 1,348.68 and 628.60 is: 867.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.80 : 1,348.68 = 628.60 : x
  2. Step 2: Convert to fraction form
    977.80/1,348.68 = 628.60/x
  3. Step 3: Cross multiply
    977.80x = 1,348.68 × 628.60
  4. Step 4: Simplify right side
    977.80x = 847,780.25
  5. Step 5: Solve for x
    x = 847,780.25/977.80
  6. Step 6: Final answer
    x = 867.03

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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.