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Finding the Fourth Proportional to 602.86, 903.48 and 439.78

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Solution

The fourth proportional to 602.86, 903.48 and 439.78 is: 659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.86 : 903.48 = 439.78 : x
  2. Step 2: Convert to fraction form
    602.86/903.48 = 439.78/x
  3. Step 3: Cross multiply
    602.86x = 903.48 × 439.78
  4. Step 4: Simplify right side
    602.86x = 397,332.43
  5. Step 5: Solve for x
    x = 397,332.43/602.86
  6. Step 6: Final answer
    x = 659.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.