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Finding the Fourth Proportional to 984.40, 1,474.16 and 618.08

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Solution

The fourth proportional to 984.40, 1,474.16 and 618.08 is: 925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.40 : 1,474.16 = 618.08 : x
  2. Step 2: Convert to fraction form
    984.40/1,474.16 = 618.08/x
  3. Step 3: Cross multiply
    984.40x = 1,474.16 × 618.08
  4. Step 4: Simplify right side
    984.40x = 911,148.81
  5. Step 5: Solve for x
    x = 911,148.81/984.40
  6. Step 6: Final answer
    x = 925.59

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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.