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Finding the Fourth Proportional to 697.57, 962.05 and 461.53

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Solution

The fourth proportional to 697.57, 962.05 and 461.53 is: 636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.57 : 962.05 = 461.53 : x
  2. Step 2: Convert to fraction form
    697.57/962.05 = 461.53/x
  3. Step 3: Cross multiply
    697.57x = 962.05 × 461.53
  4. Step 4: Simplify right side
    697.57x = 444,014.94
  5. Step 5: Solve for x
    x = 444,014.94/697.57
  6. Step 6: Final answer
    x = 636.52

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1.5x scale

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.