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Finding the Fourth Proportional to 563.52, 778.41 and 470.58

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Solution

The fourth proportional to 563.52, 778.41 and 470.58 is: 650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.52 : 778.41 = 470.58 : x
  2. Step 2: Convert to fraction form
    563.52/778.41 = 470.58/x
  3. Step 3: Cross multiply
    563.52x = 778.41 × 470.58
  4. Step 4: Simplify right side
    563.52x = 366,304.18
  5. Step 5: Solve for x
    x = 366,304.18/563.52
  6. Step 6: Final answer
    x = 650.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.