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Finding the Fourth Proportional to 461.16, 691.67 and 345.77

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Solution

The fourth proportional to 461.16, 691.67 and 345.77 is: 518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.16 : 691.67 = 345.77 : x
  2. Step 2: Convert to fraction form
    461.16/691.67 = 345.77/x
  3. Step 3: Cross multiply
    461.16x = 691.67 × 345.77
  4. Step 4: Simplify right side
    461.16x = 239,158.74
  5. Step 5: Solve for x
    x = 239,158.74/461.16
  6. Step 6: Final answer
    x = 518.60

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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.