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Finding the Fourth Proportional to 697.32, 961.47 and 572.58

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Solution

The fourth proportional to 697.32, 961.47 and 572.58 is: 789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.32 : 961.47 = 572.58 : x
  2. Step 2: Convert to fraction form
    697.32/961.47 = 572.58/x
  3. Step 3: Cross multiply
    697.32x = 961.47 × 572.58
  4. Step 4: Simplify right side
    697.32x = 550,518.49
  5. Step 5: Solve for x
    x = 550,518.49/697.32
  6. Step 6: Final answer
    x = 789.48

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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.