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Finding the Fourth Proportional to 602.03, 903.15 and 540.81

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Solution

The fourth proportional to 602.03, 903.15 and 540.81 is: 811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.03 : 903.15 = 540.81 : x
  2. Step 2: Convert to fraction form
    602.03/903.15 = 540.81/x
  3. Step 3: Cross multiply
    602.03x = 903.15 × 540.81
  4. Step 4: Simplify right side
    602.03x = 488,432.55
  5. Step 5: Solve for x
    x = 488,432.55/602.03
  6. Step 6: Final answer
    x = 811.31

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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.