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Finding the Fourth Proportional to 697.48, 961.86 and 464.20

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Solution

The fourth proportional to 697.48, 961.86 and 464.20 is: 640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.48 : 961.86 = 464.20 : x
  2. Step 2: Convert to fraction form
    697.48/961.86 = 464.20/x
  3. Step 3: Cross multiply
    697.48x = 961.86 × 464.20
  4. Step 4: Simplify right side
    697.48x = 446,495.41
  5. Step 5: Solve for x
    x = 446,495.41/697.48
  6. Step 6: Final answer
    x = 640.16

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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.