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Finding the Fourth Proportional to 1,702.77, 2,553.39 and 778.11

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Solution

The fourth proportional to 1,702.77, 2,553.39 and 778.11 is: 1,166.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.77 : 2,553.39 = 778.11 : x
  2. Step 2: Convert to fraction form
    1,702.77/2,553.39 = 778.11/x
  3. Step 3: Cross multiply
    1,702.77x = 2,553.39 × 778.11
  4. Step 4: Simplify right side
    1,702.77x = 1,986,818.29
  5. Step 5: Solve for x
    x = 1,986,818.29/1,702.77
  6. Step 6: Final answer
    x = 1,166.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.