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Finding the Fourth Proportional to 1,750.43, 2,626.56 and 776.63

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Solution

The fourth proportional to 1,750.43, 2,626.56 and 776.63 is: 1,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.43 : 2,626.56 = 776.63 : x
  2. Step 2: Convert to fraction form
    1,750.43/2,626.56 = 776.63/x
  3. Step 3: Cross multiply
    1,750.43x = 2,626.56 × 776.63
  4. Step 4: Simplify right side
    1,750.43x = 2,039,852.16
  5. Step 5: Solve for x
    x = 2,039,852.16/1,750.43
  6. Step 6: Final answer
    x = 1,165.35

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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.