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Finding the Fourth Proportional to 618.75, 926.91 and 309.69

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Solution

The fourth proportional to 618.75, 926.91 and 309.69 is: 463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.75 : 926.91 = 309.69 : x
  2. Step 2: Convert to fraction form
    618.75/926.91 = 309.69/x
  3. Step 3: Cross multiply
    618.75x = 926.91 × 309.69
  4. Step 4: Simplify right side
    618.75x = 287,054.76
  5. Step 5: Solve for x
    x = 287,054.76/618.75
  6. Step 6: Final answer
    x = 463.93

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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.