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Finding the Fourth Proportional to 477.30, 711.78 and 409.26

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Solution

The fourth proportional to 477.30, 711.78 and 409.26 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.30 : 711.78 = 409.26 : x
  2. Step 2: Convert to fraction form
    477.30/711.78 = 409.26/x
  3. Step 3: Cross multiply
    477.30x = 711.78 × 409.26
  4. Step 4: Simplify right side
    477.30x = 291,303.08
  5. Step 5: Solve for x
    x = 291,303.08/477.30
  6. Step 6: Final answer
    x = 610.31

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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.