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Finding the Fourth Proportional to 616.17, 923.65 and 287.21

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Solution

The fourth proportional to 616.17, 923.65 and 287.21 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.17 : 923.65 = 287.21 : x
  2. Step 2: Convert to fraction form
    616.17/923.65 = 287.21/x
  3. Step 3: Cross multiply
    616.17x = 923.65 × 287.21
  4. Step 4: Simplify right side
    616.17x = 265,284.72
  5. Step 5: Solve for x
    x = 265,284.72/616.17
  6. Step 6: Final answer
    x = 430.54

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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.