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Finding the Fourth Proportional to 772.63, 1,066.23 and 462.13

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Solution

The fourth proportional to 772.63, 1,066.23 and 462.13 is: 637.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.63 : 1,066.23 = 462.13 : x
  2. Step 2: Convert to fraction form
    772.63/1,066.23 = 462.13/x
  3. Step 3: Cross multiply
    772.63x = 1,066.23 × 462.13
  4. Step 4: Simplify right side
    772.63x = 492,731.54
  5. Step 5: Solve for x
    x = 492,731.54/772.63
  6. Step 6: Final answer
    x = 637.74

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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.