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Finding the Fourth Proportional to 909.97, 1,365.64 and 493.53

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Solution

The fourth proportional to 909.97, 1,365.64 and 493.53 is: 740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.97 : 1,365.64 = 493.53 : x
  2. Step 2: Convert to fraction form
    909.97/1,365.64 = 493.53/x
  3. Step 3: Cross multiply
    909.97x = 1,365.64 × 493.53
  4. Step 4: Simplify right side
    909.97x = 673,984.31
  5. Step 5: Solve for x
    x = 673,984.31/909.97
  6. Step 6: Final answer
    x = 740.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.