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Finding the Fourth Proportional to 697.40, 961.63 and 476.48

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Solution

The fourth proportional to 697.40, 961.63 and 476.48 is: 657.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 961.63 = 476.48 : x
  2. Step 2: Convert to fraction form
    697.40/961.63 = 476.48/x
  3. Step 3: Cross multiply
    697.40x = 961.63 × 476.48
  4. Step 4: Simplify right side
    697.40x = 458,197.46
  5. Step 5: Solve for x
    x = 458,197.46/697.40
  6. Step 6: Final answer
    x = 657.01

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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.