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Finding the Fourth Proportional to 611.74, 916.71 and 482.05

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Solution

The fourth proportional to 611.74, 916.71 and 482.05 is: 722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.74 : 916.71 = 482.05 : x
  2. Step 2: Convert to fraction form
    611.74/916.71 = 482.05/x
  3. Step 3: Cross multiply
    611.74x = 916.71 × 482.05
  4. Step 4: Simplify right side
    611.74x = 441,900.06
  5. Step 5: Solve for x
    x = 441,900.06/611.74
  6. Step 6: Final answer
    x = 722.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.