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Finding the Fourth Proportional to 700.62, 966.36 and 617.40

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Solution

The fourth proportional to 700.62, 966.36 and 617.40 is: 851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.62 : 966.36 = 617.40 : x
  2. Step 2: Convert to fraction form
    700.62/966.36 = 617.40/x
  3. Step 3: Cross multiply
    700.62x = 966.36 × 617.40
  4. Step 4: Simplify right side
    700.62x = 596,630.66
  5. Step 5: Solve for x
    x = 596,630.66/700.62
  6. Step 6: Final answer
    x = 851.58

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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.