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Finding the Fourth Proportional to 984.39, 1,477.50 and 497.78

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Solution

The fourth proportional to 984.39, 1,477.50 and 497.78 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.39 : 1,477.50 = 497.78 : x
  2. Step 2: Convert to fraction form
    984.39/1,477.50 = 497.78/x
  3. Step 3: Cross multiply
    984.39x = 1,477.50 × 497.78
  4. Step 4: Simplify right side
    984.39x = 735,471.78
  5. Step 5: Solve for x
    x = 735,471.78/984.39
  6. Step 6: Final answer
    x = 747.13

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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.