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Finding the Fourth Proportional to 816.75, 1,128.08 and 540.27

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Solution

The fourth proportional to 816.75, 1,128.08 and 540.27 is: 746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.75 : 1,128.08 = 540.27 : x
  2. Step 2: Convert to fraction form
    816.75/1,128.08 = 540.27/x
  3. Step 3: Cross multiply
    816.75x = 1,128.08 × 540.27
  4. Step 4: Simplify right side
    816.75x = 609,465.08
  5. Step 5: Solve for x
    x = 609,465.08/816.75
  6. Step 6: Final answer
    x = 746.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.