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Finding the Fourth Proportional to 602.48, 903.68 and 169.64

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Solution

The fourth proportional to 602.48, 903.68 and 169.64 is: 254.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.48 : 903.68 = 169.64 : x
  2. Step 2: Convert to fraction form
    602.48/903.68 = 169.64/x
  3. Step 3: Cross multiply
    602.48x = 903.68 × 169.64
  4. Step 4: Simplify right side
    602.48x = 153,300.28
  5. Step 5: Solve for x
    x = 153,300.28/602.48
  6. Step 6: Final answer
    x = 254.45

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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.