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Finding the Fourth Proportional to 713.54, 984.36 and 414.76

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Solution

The fourth proportional to 713.54, 984.36 and 414.76 is: 572.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.54 : 984.36 = 414.76 : x
  2. Step 2: Convert to fraction form
    713.54/984.36 = 414.76/x
  3. Step 3: Cross multiply
    713.54x = 984.36 × 414.76
  4. Step 4: Simplify right side
    713.54x = 408,268.23
  5. Step 5: Solve for x
    x = 408,268.23/713.54
  6. Step 6: Final answer
    x = 572.18

Related Problems

Find fourth proportional to 356.77, 492.18 and 207.38
Half scale
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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.