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Finding the Fourth Proportional to 1,746.95, 2,620.50 and 869.87

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Solution

The fourth proportional to 1,746.95, 2,620.50 and 869.87 is: 1,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.95 : 2,620.50 = 869.87 : x
  2. Step 2: Convert to fraction form
    1,746.95/2,620.50 = 869.87/x
  3. Step 3: Cross multiply
    1,746.95x = 2,620.50 × 869.87
  4. Step 4: Simplify right side
    1,746.95x = 2,279,494.34
  5. Step 5: Solve for x
    x = 2,279,494.34/1,746.95
  6. Step 6: Final answer
    x = 1,304.84

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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.