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Finding the Fourth Proportional to 783.38, 1,079.25 and 652.16

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Solution

The fourth proportional to 783.38, 1,079.25 and 652.16 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.38 : 1,079.25 = 652.16 : x
  2. Step 2: Convert to fraction form
    783.38/1,079.25 = 652.16/x
  3. Step 3: Cross multiply
    783.38x = 1,079.25 × 652.16
  4. Step 4: Simplify right side
    783.38x = 703,843.68
  5. Step 5: Solve for x
    x = 703,843.68/783.38
  6. Step 6: Final answer
    x = 898.47

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Double scale
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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.