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Finding the Fourth Proportional to 601.50, 902.28 and 540.90

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Solution

The fourth proportional to 601.50, 902.28 and 540.90 is: 811.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.50 : 902.28 = 540.90 : x
  2. Step 2: Convert to fraction form
    601.50/902.28 = 540.90/x
  3. Step 3: Cross multiply
    601.50x = 902.28 × 540.90
  4. Step 4: Simplify right side
    601.50x = 488,043.25
  5. Step 5: Solve for x
    x = 488,043.25/601.50
  6. Step 6: Final answer
    x = 811.38

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1.5x scale

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.