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Finding the Fourth Proportional to 772.79, 1,066.90 and 511.25

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Solution

The fourth proportional to 772.79, 1,066.90 and 511.25 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.79 : 1,066.90 = 511.25 : x
  2. Step 2: Convert to fraction form
    772.79/1,066.90 = 511.25/x
  3. Step 3: Cross multiply
    772.79x = 1,066.90 × 511.25
  4. Step 4: Simplify right side
    772.79x = 545,454.01
  5. Step 5: Solve for x
    x = 545,454.01/772.79
  6. Step 6: Final answer
    x = 705.83

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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.