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Finding the Fourth Proportional to 647.76, 971.03 and 339.83

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Solution

The fourth proportional to 647.76, 971.03 and 339.83 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.76 : 971.03 = 339.83 : x
  2. Step 2: Convert to fraction form
    647.76/971.03 = 339.83/x
  3. Step 3: Cross multiply
    647.76x = 971.03 × 339.83
  4. Step 4: Simplify right side
    647.76x = 329,984.76
  5. Step 5: Solve for x
    x = 329,984.76/647.76
  6. Step 6: Final answer
    x = 509.42

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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.