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Finding the Fourth Proportional to 647.47, 971.63 and 339.23

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Solution

The fourth proportional to 647.47, 971.63 and 339.23 is: 509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.47 : 971.63 = 339.23 : x
  2. Step 2: Convert to fraction form
    647.47/971.63 = 339.23/x
  3. Step 3: Cross multiply
    647.47x = 971.63 × 339.23
  4. Step 4: Simplify right side
    647.47x = 329,608.05
  5. Step 5: Solve for x
    x = 329,608.05/647.47
  6. Step 6: Final answer
    x = 509.07

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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.