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Finding the Fourth Proportional to 602.88, 903.24 and 310.02

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Solution

The fourth proportional to 602.88, 903.24 and 310.02 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.88 : 903.24 = 310.02 : x
  2. Step 2: Convert to fraction form
    602.88/903.24 = 310.02/x
  3. Step 3: Cross multiply
    602.88x = 903.24 × 310.02
  4. Step 4: Simplify right side
    602.88x = 280,022.46
  5. Step 5: Solve for x
    x = 280,022.46/602.88
  6. Step 6: Final answer
    x = 464.47

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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.