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Finding the Fourth Proportional to 1,647.34, 2,470.62 and 477.03

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Solution

The fourth proportional to 1,647.34, 2,470.62 and 477.03 is: 715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.34 : 2,470.62 = 477.03 : x
  2. Step 2: Convert to fraction form
    1,647.34/2,470.62 = 477.03/x
  3. Step 3: Cross multiply
    1,647.34x = 2,470.62 × 477.03
  4. Step 4: Simplify right side
    1,647.34x = 1,178,558.17
  5. Step 5: Solve for x
    x = 1,178,558.17/1,647.34
  6. Step 6: Final answer
    x = 715.43

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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.