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Finding the Fourth Proportional to 977.89, 1,348.09 and 697.64

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Solution

The fourth proportional to 977.89, 1,348.09 and 697.64 is: 961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.89 : 1,348.09 = 697.64 : x
  2. Step 2: Convert to fraction form
    977.89/1,348.09 = 697.64/x
  3. Step 3: Cross multiply
    977.89x = 1,348.09 × 697.64
  4. Step 4: Simplify right side
    977.89x = 940,483.13
  5. Step 5: Solve for x
    x = 940,483.13/977.89
  6. Step 6: Final answer
    x = 961.75

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1.5x scale

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.