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Finding the Fourth Proportional to 712.68, 984.24 and 492.48

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Solution

The fourth proportional to 712.68, 984.24 and 492.48 is: 680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.68 : 984.24 = 492.48 : x
  2. Step 2: Convert to fraction form
    712.68/984.24 = 492.48/x
  3. Step 3: Cross multiply
    712.68x = 984.24 × 492.48
  4. Step 4: Simplify right side
    712.68x = 484,718.52
  5. Step 5: Solve for x
    x = 484,718.52/712.68
  6. Step 6: Final answer
    x = 680.13

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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.