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Finding the Fourth Proportional to 616.24, 923.64 and 307.78

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Solution

The fourth proportional to 616.24, 923.64 and 307.78 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.24 : 923.64 = 307.78 : x
  2. Step 2: Convert to fraction form
    616.24/923.64 = 307.78/x
  3. Step 3: Cross multiply
    616.24x = 923.64 × 307.78
  4. Step 4: Simplify right side
    616.24x = 284,277.92
  5. Step 5: Solve for x
    x = 284,277.92/616.24
  6. Step 6: Final answer
    x = 461.31

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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.