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Finding the Fourth Proportional to 926.72, 1,387.20 and 492.80

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Solution

The fourth proportional to 926.72, 1,387.20 and 492.80 is: 737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.72 : 1,387.20 = 492.80 : x
  2. Step 2: Convert to fraction form
    926.72/1,387.20 = 492.80/x
  3. Step 3: Cross multiply
    926.72x = 1,387.20 × 492.80
  4. Step 4: Simplify right side
    926.72x = 683,612.16
  5. Step 5: Solve for x
    x = 683,612.16/926.72
  6. Step 6: Final answer
    x = 737.67

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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.