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Finding the Fourth Proportional to 811.35, 1,119.63 and 457.35

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Solution

The fourth proportional to 811.35, 1,119.63 and 457.35 is: 631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.35 : 1,119.63 = 457.35 : x
  2. Step 2: Convert to fraction form
    811.35/1,119.63 = 457.35/x
  3. Step 3: Cross multiply
    811.35x = 1,119.63 × 457.35
  4. Step 4: Simplify right side
    811.35x = 512,062.78
  5. Step 5: Solve for x
    x = 512,062.78/811.35
  6. Step 6: Final answer
    x = 631.12

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Double scale
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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.