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Finding the Fourth Proportional to 700.22, 967.52 and 575.78

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Solution

The fourth proportional to 700.22, 967.52 and 575.78 is: 795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.22 : 967.52 = 575.78 : x
  2. Step 2: Convert to fraction form
    700.22/967.52 = 575.78/x
  3. Step 3: Cross multiply
    700.22x = 967.52 × 575.78
  4. Step 4: Simplify right side
    700.22x = 557,078.67
  5. Step 5: Solve for x
    x = 557,078.67/700.22
  6. Step 6: Final answer
    x = 795.58

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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.