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Finding the Fourth Proportional to 773.22, 1,066.64 and 510.78

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Solution

The fourth proportional to 773.22, 1,066.64 and 510.78 is: 704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.22 : 1,066.64 = 510.78 : x
  2. Step 2: Convert to fraction form
    773.22/1,066.64 = 510.78/x
  3. Step 3: Cross multiply
    773.22x = 1,066.64 × 510.78
  4. Step 4: Simplify right side
    773.22x = 544,818.38
  5. Step 5: Solve for x
    x = 544,818.38/773.22
  6. Step 6: Final answer
    x = 704.61

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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.