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Finding the Fourth Proportional to 647.92, 971.63 and 209.06

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Solution

The fourth proportional to 647.92, 971.63 and 209.06 is: 313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.92 : 971.63 = 209.06 : x
  2. Step 2: Convert to fraction form
    647.92/971.63 = 209.06/x
  3. Step 3: Cross multiply
    647.92x = 971.63 × 209.06
  4. Step 4: Simplify right side
    647.92x = 203,123.06
  5. Step 5: Solve for x
    x = 203,123.06/647.92
  6. Step 6: Final answer
    x = 313.50

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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.