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Finding the Fourth Proportional to 977.01, 1,348.08 and 622.30

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Solution

The fourth proportional to 977.01, 1,348.08 and 622.30 is: 858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.01 : 1,348.08 = 622.30 : x
  2. Step 2: Convert to fraction form
    977.01/1,348.08 = 622.30/x
  3. Step 3: Cross multiply
    977.01x = 1,348.08 × 622.30
  4. Step 4: Simplify right side
    977.01x = 838,900.33
  5. Step 5: Solve for x
    x = 838,900.33/977.01
  6. Step 6: Final answer
    x = 858.64

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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.