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Finding the Fourth Proportional to 926.75, 1,278.77 and 702.81

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Solution

The fourth proportional to 926.75, 1,278.77 and 702.81 is: 969.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.75 : 1,278.77 = 702.81 : x
  2. Step 2: Convert to fraction form
    926.75/1,278.77 = 702.81/x
  3. Step 3: Cross multiply
    926.75x = 1,278.77 × 702.81
  4. Step 4: Simplify right side
    926.75x = 898,732.34
  5. Step 5: Solve for x
    x = 898,732.34/926.75
  6. Step 6: Final answer
    x = 969.77

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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.