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Finding the Fourth Proportional to 811.59, 1,119.79 and 457.44

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Solution

The fourth proportional to 811.59, 1,119.79 and 457.44 is: 631.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.59 : 1,119.79 = 457.44 : x
  2. Step 2: Convert to fraction form
    811.59/1,119.79 = 457.44/x
  3. Step 3: Cross multiply
    811.59x = 1,119.79 × 457.44
  4. Step 4: Simplify right side
    811.59x = 512,234.45
  5. Step 5: Solve for x
    x = 512,234.45/811.59
  6. Step 6: Final answer
    x = 631.15

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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.