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Finding the Fourth Proportional to 697.22, 962.90 and 474.15

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Solution

The fourth proportional to 697.22, 962.90 and 474.15 is: 654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.22 : 962.90 = 474.15 : x
  2. Step 2: Convert to fraction form
    697.22/962.90 = 474.15/x
  3. Step 3: Cross multiply
    697.22x = 962.90 × 474.15
  4. Step 4: Simplify right side
    697.22x = 456,552.60
  5. Step 5: Solve for x
    x = 456,552.60/697.22
  6. Step 6: Final answer
    x = 654.82

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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.