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Finding the Fourth Proportional to 712.30, 984.12 and 578.26

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Solution

The fourth proportional to 712.30, 984.12 and 578.26 is: 798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.30 : 984.12 = 578.26 : x
  2. Step 2: Convert to fraction form
    712.30/984.12 = 578.26/x
  3. Step 3: Cross multiply
    712.30x = 984.12 × 578.26
  4. Step 4: Simplify right side
    712.30x = 569,077.23
  5. Step 5: Solve for x
    x = 569,077.23/712.30
  6. Step 6: Final answer
    x = 798.93

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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.