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Finding the Fourth Proportional to 784.44, 1,081.60 and 535.88

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Solution

The fourth proportional to 784.44, 1,081.60 and 535.88 is: 738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.44 : 1,081.60 = 535.88 : x
  2. Step 2: Convert to fraction form
    784.44/1,081.60 = 535.88/x
  3. Step 3: Cross multiply
    784.44x = 1,081.60 × 535.88
  4. Step 4: Simplify right side
    784.44x = 579,607.81
  5. Step 5: Solve for x
    x = 579,607.81/784.44
  6. Step 6: Final answer
    x = 738.88

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Double scale
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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.