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Finding the Fourth Proportional to 1,378.29, 1,901.84 and 788.70

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Solution

The fourth proportional to 1,378.29, 1,901.84 and 788.70 is: 1,088.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.29 : 1,901.84 = 788.70 : x
  2. Step 2: Convert to fraction form
    1,378.29/1,901.84 = 788.70/x
  3. Step 3: Cross multiply
    1,378.29x = 1,901.84 × 788.70
  4. Step 4: Simplify right side
    1,378.29x = 1,499,977.26
  5. Step 5: Solve for x
    x = 1,499,977.26/1,378.29
  6. Step 6: Final answer
    x = 1,088.29

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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.