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Finding the Fourth Proportional to 1,319.64, 1,820.88 and 878.18

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Solution

The fourth proportional to 1,319.64, 1,820.88 and 878.18 is: 1,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.64 : 1,820.88 = 878.18 : x
  2. Step 2: Convert to fraction form
    1,319.64/1,820.88 = 878.18/x
  3. Step 3: Cross multiply
    1,319.64x = 1,820.88 × 878.18
  4. Step 4: Simplify right side
    1,319.64x = 1,599,060.40
  5. Step 5: Solve for x
    x = 1,599,060.40/1,319.64
  6. Step 6: Final answer
    x = 1,211.74

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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.