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Finding the Fourth Proportional to 616.26, 923.60 and 307.44

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Solution

The fourth proportional to 616.26, 923.60 and 307.44 is: 460.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 923.60 = 307.44 : x
  2. Step 2: Convert to fraction form
    616.26/923.60 = 307.44/x
  3. Step 3: Cross multiply
    616.26x = 923.60 × 307.44
  4. Step 4: Simplify right side
    616.26x = 283,950.05
  5. Step 5: Solve for x
    x = 283,950.05/616.26
  6. Step 6: Final answer
    x = 460.76

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1.5x scale

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.