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Finding the Fourth Proportional to 984.33, 1,477.41 and 497.72

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Solution

The fourth proportional to 984.33, 1,477.41 and 497.72 is: 747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.33 : 1,477.41 = 497.72 : x
  2. Step 2: Convert to fraction form
    984.33/1,477.41 = 497.72/x
  3. Step 3: Cross multiply
    984.33x = 1,477.41 × 497.72
  4. Step 4: Simplify right side
    984.33x = 735,334.02
  5. Step 5: Solve for x
    x = 735,334.02/984.33
  6. Step 6: Final answer
    x = 747.04

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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.