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Finding the Fourth Proportional to 1,335.56, 1,842.88 and 804.32

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Solution

The fourth proportional to 1,335.56, 1,842.88 and 804.32 is: 1,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.56 : 1,842.88 = 804.32 : x
  2. Step 2: Convert to fraction form
    1,335.56/1,842.88 = 804.32/x
  3. Step 3: Cross multiply
    1,335.56x = 1,842.88 × 804.32
  4. Step 4: Simplify right side
    1,335.56x = 1,482,265.24
  5. Step 5: Solve for x
    x = 1,482,265.24/1,335.56
  6. Step 6: Final answer
    x = 1,109.85

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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.