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Finding the Fourth Proportional to 909.82, 1,253.66 and 699.98

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Solution

The fourth proportional to 909.82, 1,253.66 and 699.98 is: 964.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.82 : 1,253.66 = 699.98 : x
  2. Step 2: Convert to fraction form
    909.82/1,253.66 = 699.98/x
  3. Step 3: Cross multiply
    909.82x = 1,253.66 × 699.98
  4. Step 4: Simplify right side
    909.82x = 877,536.93
  5. Step 5: Solve for x
    x = 877,536.93/909.82
  6. Step 6: Final answer
    x = 964.52

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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.