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Finding the Fourth Proportional to 647.81, 971.10 and 322.79

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Solution

The fourth proportional to 647.81, 971.10 and 322.79 is: 483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.81 : 971.10 = 322.79 : x
  2. Step 2: Convert to fraction form
    647.81/971.10 = 322.79/x
  3. Step 3: Cross multiply
    647.81x = 971.10 × 322.79
  4. Step 4: Simplify right side
    647.81x = 313,463.80
  5. Step 5: Solve for x
    x = 313,463.80/647.81
  6. Step 6: Final answer
    x = 483.89

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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.