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Finding the Fourth Proportional to 772.96, 1,066.22 and 511.34

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Solution

The fourth proportional to 772.96, 1,066.22 and 511.34 is: 705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.96 : 1,066.22 = 511.34 : x
  2. Step 2: Convert to fraction form
    772.96/1,066.22 = 511.34/x
  3. Step 3: Cross multiply
    772.96x = 1,066.22 × 511.34
  4. Step 4: Simplify right side
    772.96x = 545,200.93
  5. Step 5: Solve for x
    x = 545,200.93/772.96
  6. Step 6: Final answer
    x = 705.34

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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.