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Finding the Fourth Proportional to 618.86, 925.94 and 386.66

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Solution

The fourth proportional to 618.86, 925.94 and 386.66 is: 578.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.86 : 925.94 = 386.66 : x
  2. Step 2: Convert to fraction form
    618.86/925.94 = 386.66/x
  3. Step 3: Cross multiply
    618.86x = 925.94 × 386.66
  4. Step 4: Simplify right side
    618.86x = 358,023.96
  5. Step 5: Solve for x
    x = 358,023.96/618.86
  6. Step 6: Final answer
    x = 578.52

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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.