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Finding the Fourth Proportional to 477.90, 711.51 and 471.06

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Solution

The fourth proportional to 477.90, 711.51 and 471.06 is: 701.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.90 : 711.51 = 471.06 : x
  2. Step 2: Convert to fraction form
    477.90/711.51 = 471.06/x
  3. Step 3: Cross multiply
    477.90x = 711.51 × 471.06
  4. Step 4: Simplify right side
    477.90x = 335,163.90
  5. Step 5: Solve for x
    x = 335,163.90/477.90
  6. Step 6: Final answer
    x = 701.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.