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Finding the Fourth Proportional to 928.79, 1,392.50 and 466.10

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Solution

The fourth proportional to 928.79, 1,392.50 and 466.10 is: 698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.79 : 1,392.50 = 466.10 : x
  2. Step 2: Convert to fraction form
    928.79/1,392.50 = 466.10/x
  3. Step 3: Cross multiply
    928.79x = 1,392.50 × 466.10
  4. Step 4: Simplify right side
    928.79x = 649,052.16
  5. Step 5: Solve for x
    x = 649,052.16/928.79
  6. Step 6: Final answer
    x = 698.81

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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.