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Finding the Fourth Proportional to 984.77, 1,478.06 and 498.17

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Solution

The fourth proportional to 984.77, 1,478.06 and 498.17 is: 747.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.77 : 1,478.06 = 498.17 : x
  2. Step 2: Convert to fraction form
    984.77/1,478.06 = 498.17/x
  3. Step 3: Cross multiply
    984.77x = 1,478.06 × 498.17
  4. Step 4: Simplify right side
    984.77x = 736,315.27
  5. Step 5: Solve for x
    x = 736,315.27/984.77
  6. Step 6: Final answer
    x = 747.71

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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.