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Finding the Fourth Proportional to 1,751.72, 2,626.66 and 777.40

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Solution

The fourth proportional to 1,751.72, 2,626.66 and 777.40 is: 1,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.72 : 2,626.66 = 777.40 : x
  2. Step 2: Convert to fraction form
    1,751.72/2,626.66 = 777.40/x
  3. Step 3: Cross multiply
    1,751.72x = 2,626.66 × 777.40
  4. Step 4: Simplify right side
    1,751.72x = 2,041,965.48
  5. Step 5: Solve for x
    x = 2,041,965.48/1,751.72
  6. Step 6: Final answer
    x = 1,165.69

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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.