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Finding the Fourth Proportional to 618.60, 926.68 and 374.40

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Solution

The fourth proportional to 618.60, 926.68 and 374.40 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.60 : 926.68 = 374.40 : x
  2. Step 2: Convert to fraction form
    618.60/926.68 = 374.40/x
  3. Step 3: Cross multiply
    618.60x = 926.68 × 374.40
  4. Step 4: Simplify right side
    618.60x = 346,948.99
  5. Step 5: Solve for x
    x = 346,948.99/618.60
  6. Step 6: Final answer
    x = 560.86

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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.