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Finding the Fourth Proportional to 1,437.39, 1,983.78 and 877.74

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Solution

The fourth proportional to 1,437.39, 1,983.78 and 877.74 is: 1,211.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.39 : 1,983.78 = 877.74 : x
  2. Step 2: Convert to fraction form
    1,437.39/1,983.78 = 877.74/x
  3. Step 3: Cross multiply
    1,437.39x = 1,983.78 × 877.74
  4. Step 4: Simplify right side
    1,437.39x = 1,741,246.35
  5. Step 5: Solve for x
    x = 1,741,246.35/1,437.39
  6. Step 6: Final answer
    x = 1,211.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.