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Finding the Fourth Proportional to 619.02, 928.50 and 311.01

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Solution

The fourth proportional to 619.02, 928.50 and 311.01 is: 466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.02 : 928.50 = 311.01 : x
  2. Step 2: Convert to fraction form
    619.02/928.50 = 311.01/x
  3. Step 3: Cross multiply
    619.02x = 928.50 × 311.01
  4. Step 4: Simplify right side
    619.02x = 288,772.79
  5. Step 5: Solve for x
    x = 288,772.79/619.02
  6. Step 6: Final answer
    x = 466.50

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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.