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Finding the Fourth Proportional to 618.68, 926.82 and 309.60

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Solution

The fourth proportional to 618.68, 926.82 and 309.60 is: 463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.68 : 926.82 = 309.60 : x
  2. Step 2: Convert to fraction form
    618.68/926.82 = 309.60/x
  3. Step 3: Cross multiply
    618.68x = 926.82 × 309.60
  4. Step 4: Simplify right side
    618.68x = 286,943.47
  5. Step 5: Solve for x
    x = 286,943.47/618.68
  6. Step 6: Final answer
    x = 463.80

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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.