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Finding the Fourth Proportional to 647.20, 971.03 and 318.27

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Solution

The fourth proportional to 647.20, 971.03 and 318.27 is: 477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.20 : 971.03 = 318.27 : x
  2. Step 2: Convert to fraction form
    647.20/971.03 = 318.27/x
  3. Step 3: Cross multiply
    647.20x = 971.03 × 318.27
  4. Step 4: Simplify right side
    647.20x = 309,049.72
  5. Step 5: Solve for x
    x = 309,049.72/647.20
  6. Step 6: Final answer
    x = 477.52

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1.5x scale

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.