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Finding the Fourth Proportional to 698.76, 961.68 and 558.36

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Solution

The fourth proportional to 698.76, 961.68 and 558.36 is: 768.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.76 : 961.68 = 558.36 : x
  2. Step 2: Convert to fraction form
    698.76/961.68 = 558.36/x
  3. Step 3: Cross multiply
    698.76x = 961.68 × 558.36
  4. Step 4: Simplify right side
    698.76x = 536,963.64
  5. Step 5: Solve for x
    x = 536,963.64/698.76
  6. Step 6: Final answer
    x = 768.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.