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Finding the Fourth Proportional to 613.34, 916.22 and 491.84

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Solution

The fourth proportional to 613.34, 916.22 and 491.84 is: 734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.34 : 916.22 = 491.84 : x
  2. Step 2: Convert to fraction form
    613.34/916.22 = 491.84/x
  3. Step 3: Cross multiply
    613.34x = 916.22 × 491.84
  4. Step 4: Simplify right side
    613.34x = 450,633.64
  5. Step 5: Solve for x
    x = 450,633.64/613.34
  6. Step 6: Final answer
    x = 734.72

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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.