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Finding the Fourth Proportional to 477.40, 716.10 and 474.37

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Solution

The fourth proportional to 477.40, 716.10 and 474.37 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.40 : 716.10 = 474.37 : x
  2. Step 2: Convert to fraction form
    477.40/716.10 = 474.37/x
  3. Step 3: Cross multiply
    477.40x = 716.10 × 474.37
  4. Step 4: Simplify right side
    477.40x = 339,696.36
  5. Step 5: Solve for x
    x = 339,696.36/477.40
  6. Step 6: Final answer
    x = 711.56

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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.