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Finding the Fourth Proportional to 984.92, 1,477.32 and 407.78

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Solution

The fourth proportional to 984.92, 1,477.32 and 407.78 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,477.32 = 407.78 : x
  2. Step 2: Convert to fraction form
    984.92/1,477.32 = 407.78/x
  3. Step 3: Cross multiply
    984.92x = 1,477.32 × 407.78
  4. Step 4: Simplify right side
    984.92x = 602,421.55
  5. Step 5: Solve for x
    x = 602,421.55/984.92
  6. Step 6: Final answer
    x = 611.65

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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.