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Finding the Fourth Proportional to 977.99, 1,348.56 and 799.61

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Solution

The fourth proportional to 977.99, 1,348.56 and 799.61 is: 1,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.99 : 1,348.56 = 799.61 : x
  2. Step 2: Convert to fraction form
    977.99/1,348.56 = 799.61/x
  3. Step 3: Cross multiply
    977.99x = 1,348.56 × 799.61
  4. Step 4: Simplify right side
    977.99x = 1,078,315.32
  5. Step 5: Solve for x
    x = 1,078,315.32/977.99
  6. Step 6: Final answer
    x = 1,102.59

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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.