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Finding the Fourth Proportional to 816.17, 1,126.30 and 457.27

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Solution

The fourth proportional to 816.17, 1,126.30 and 457.27 is: 631.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.17 : 1,126.30 = 457.27 : x
  2. Step 2: Convert to fraction form
    816.17/1,126.30 = 457.27/x
  3. Step 3: Cross multiply
    816.17x = 1,126.30 × 457.27
  4. Step 4: Simplify right side
    816.17x = 515,023.20
  5. Step 5: Solve for x
    x = 515,023.20/816.17
  6. Step 6: Final answer
    x = 631.02

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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.