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Finding the Fourth Proportional to 723.33, 1,078.75 and 674.12

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Solution

The fourth proportional to 723.33, 1,078.75 and 674.12 is: 1,005.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 1,078.75 = 674.12 : x
  2. Step 2: Convert to fraction form
    723.33/1,078.75 = 674.12/x
  3. Step 3: Cross multiply
    723.33x = 1,078.75 × 674.12
  4. Step 4: Simplify right side
    723.33x = 727,210.49
  5. Step 5: Solve for x
    x = 727,210.49/723.33
  6. Step 6: Final answer
    x = 1,005.36

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Half scale
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Double scale
Find fourth proportional to 724.33, 1,080.24 and 675.12
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.