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Finding the Fourth Proportional to 713.42, 984.66 and 414.71

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Solution

The fourth proportional to 713.42, 984.66 and 414.71 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.42 : 984.66 = 414.71 : x
  2. Step 2: Convert to fraction form
    713.42/984.66 = 414.71/x
  3. Step 3: Cross multiply
    713.42x = 984.66 × 414.71
  4. Step 4: Simplify right side
    713.42x = 408,347.51
  5. Step 5: Solve for x
    x = 408,347.51/713.42
  6. Step 6: Final answer
    x = 572.38

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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.