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Finding the Fourth Proportional to 618.45, 927.63 and 310.52

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Solution

The fourth proportional to 618.45, 927.63 and 310.52 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.45 : 927.63 = 310.52 : x
  2. Step 2: Convert to fraction form
    618.45/927.63 = 310.52/x
  3. Step 3: Cross multiply
    618.45x = 927.63 × 310.52
  4. Step 4: Simplify right side
    618.45x = 288,041.48
  5. Step 5: Solve for x
    x = 288,041.48/618.45
  6. Step 6: Final answer
    x = 465.75

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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.