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Finding the Fourth Proportional to 923.88, 1,386.34 and 491.03

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Solution

The fourth proportional to 923.88, 1,386.34 and 491.03 is: 736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.88 : 1,386.34 = 491.03 : x
  2. Step 2: Convert to fraction form
    923.88/1,386.34 = 491.03/x
  3. Step 3: Cross multiply
    923.88x = 1,386.34 × 491.03
  4. Step 4: Simplify right side
    923.88x = 680,727.60
  5. Step 5: Solve for x
    x = 680,727.60/923.88
  6. Step 6: Final answer
    x = 736.81

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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.