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Finding the Fourth Proportional to 403.88, 601.64 and 391.78

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Solution

The fourth proportional to 403.88, 601.64 and 391.78 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.88 : 601.64 = 391.78 : x
  2. Step 2: Convert to fraction form
    403.88/601.64 = 391.78/x
  3. Step 3: Cross multiply
    403.88x = 601.64 × 391.78
  4. Step 4: Simplify right side
    403.88x = 235,710.52
  5. Step 5: Solve for x
    x = 235,710.52/403.88
  6. Step 6: Final answer
    x = 583.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.