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Finding the Fourth Proportional to 1,703.18, 2,552.92 and 778.50

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Solution

The fourth proportional to 1,703.18, 2,552.92 and 778.50 is: 1,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.18 : 2,552.92 = 778.50 : x
  2. Step 2: Convert to fraction form
    1,703.18/2,552.92 = 778.50/x
  3. Step 3: Cross multiply
    1,703.18x = 2,552.92 × 778.50
  4. Step 4: Simplify right side
    1,703.18x = 1,987,446.27
  5. Step 5: Solve for x
    x = 1,987,446.27/1,703.18
  6. Step 6: Final answer
    x = 1,166.90

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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.