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Finding the Fourth Proportional to 784.25, 1,081.63 and 535.31

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Solution

The fourth proportional to 784.25, 1,081.63 and 535.31 is: 738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,081.63 = 535.31 : x
  2. Step 2: Convert to fraction form
    784.25/1,081.63 = 535.31/x
  3. Step 3: Cross multiply
    784.25x = 1,081.63 × 535.31
  4. Step 4: Simplify right side
    784.25x = 579,007.36
  5. Step 5: Solve for x
    x = 579,007.36/784.25
  6. Step 6: Final answer
    x = 738.29

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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.