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Finding the Fourth Proportional to 602.56, 903.56 and 313.92

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Solution

The fourth proportional to 602.56, 903.56 and 313.92 is: 470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.56 : 903.56 = 313.92 : x
  2. Step 2: Convert to fraction form
    602.56/903.56 = 313.92/x
  3. Step 3: Cross multiply
    602.56x = 903.56 × 313.92
  4. Step 4: Simplify right side
    602.56x = 283,645.56
  5. Step 5: Solve for x
    x = 283,645.56/602.56
  6. Step 6: Final answer
    x = 470.73

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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.