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Finding the Fourth Proportional to 461.61, 691.44 and 307.61

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Solution

The fourth proportional to 461.61, 691.44 and 307.61 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 691.44 = 307.61 : x
  2. Step 2: Convert to fraction form
    461.61/691.44 = 307.61/x
  3. Step 3: Cross multiply
    461.61x = 691.44 × 307.61
  4. Step 4: Simplify right side
    461.61x = 212,690.40
  5. Step 5: Solve for x
    x = 212,690.40/461.61
  6. Step 6: Final answer
    x = 460.76

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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.