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Finding the Fourth Proportional to 491.71, 734.13 and 422.95

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Solution

The fourth proportional to 491.71, 734.13 and 422.95 is: 631.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.71 : 734.13 = 422.95 : x
  2. Step 2: Convert to fraction form
    491.71/734.13 = 422.95/x
  3. Step 3: Cross multiply
    491.71x = 734.13 × 422.95
  4. Step 4: Simplify right side
    491.71x = 310,500.28
  5. Step 5: Solve for x
    x = 310,500.28/491.71
  6. Step 6: Final answer
    x = 631.47

Related Problems

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.