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Finding the Fourth Proportional to 810.39, 1,118.34 and 461.10

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Solution

The fourth proportional to 810.39, 1,118.34 and 461.10 is: 636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.39 : 1,118.34 = 461.10 : x
  2. Step 2: Convert to fraction form
    810.39/1,118.34 = 461.10/x
  3. Step 3: Cross multiply
    810.39x = 1,118.34 × 461.10
  4. Step 4: Simplify right side
    810.39x = 515,666.57
  5. Step 5: Solve for x
    x = 515,666.57/810.39
  6. Step 6: Final answer
    x = 636.32

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Half scale
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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.