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Finding the Fourth Proportional to 713.47, 984.69 and 398.76

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Solution

The fourth proportional to 713.47, 984.69 and 398.76 is: 550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.47 : 984.69 = 398.76 : x
  2. Step 2: Convert to fraction form
    713.47/984.69 = 398.76/x
  3. Step 3: Cross multiply
    713.47x = 984.69 × 398.76
  4. Step 4: Simplify right side
    713.47x = 392,649.06
  5. Step 5: Solve for x
    x = 392,649.06/713.47
  6. Step 6: Final answer
    x = 550.34

Related Problems

Find fourth proportional to 356.74, 492.34 and 199.38
Half scale
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Double scale
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Similar ratio
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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.