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Finding the Fourth Proportional to 790.68, 1,092.78 and 701.40

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Solution

The fourth proportional to 790.68, 1,092.78 and 701.40 is: 969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.68 : 1,092.78 = 701.40 : x
  2. Step 2: Convert to fraction form
    790.68/1,092.78 = 701.40/x
  3. Step 3: Cross multiply
    790.68x = 1,092.78 × 701.40
  4. Step 4: Simplify right side
    790.68x = 766,475.89
  5. Step 5: Solve for x
    x = 766,475.89/790.68
  6. Step 6: Final answer
    x = 969.39

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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.