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Finding the Fourth Proportional to 845.24, 1,266.42 and 460.76

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Solution

The fourth proportional to 845.24, 1,266.42 and 460.76 is: 690.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.24 : 1,266.42 = 460.76 : x
  2. Step 2: Convert to fraction form
    845.24/1,266.42 = 460.76/x
  3. Step 3: Cross multiply
    845.24x = 1,266.42 × 460.76
  4. Step 4: Simplify right side
    845.24x = 583,515.68
  5. Step 5: Solve for x
    x = 583,515.68/845.24
  6. Step 6: Final answer
    x = 690.36

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.