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Finding the Fourth Proportional to 647.47, 971.25 and 571.33

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Solution

The fourth proportional to 647.47, 971.25 and 571.33 is: 857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.47 : 971.25 = 571.33 : x
  2. Step 2: Convert to fraction form
    647.47/971.25 = 571.33/x
  3. Step 3: Cross multiply
    647.47x = 971.25 × 571.33
  4. Step 4: Simplify right side
    647.47x = 554,896.55
  5. Step 5: Solve for x
    x = 554,896.55/647.47
  6. Step 6: Final answer
    x = 857.03

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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.