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Finding the Fourth Proportional to 602.04, 902.28 and 313.68

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Solution

The fourth proportional to 602.04, 902.28 and 313.68 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 902.28 = 313.68 : x
  2. Step 2: Convert to fraction form
    602.04/902.28 = 313.68/x
  3. Step 3: Cross multiply
    602.04x = 902.28 × 313.68
  4. Step 4: Simplify right side
    602.04x = 283,027.19
  5. Step 5: Solve for x
    x = 283,027.19/602.04
  6. Step 6: Final answer
    x = 470.11

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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.