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Finding the Fourth Proportional to 693.73, 961.73 and 656.74

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Solution

The fourth proportional to 693.73, 961.73 and 656.74 is: 910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.73 : 961.73 = 656.74 : x
  2. Step 2: Convert to fraction form
    693.73/961.73 = 656.74/x
  3. Step 3: Cross multiply
    693.73x = 961.73 × 656.74
  4. Step 4: Simplify right side
    693.73x = 631,598.47
  5. Step 5: Solve for x
    x = 631,598.47/693.73
  6. Step 6: Final answer
    x = 910.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.