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Finding the Fourth Proportional to 575.52, 793.53 and 470.22

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Solution

The fourth proportional to 575.52, 793.53 and 470.22 is: 648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.52 : 793.53 = 470.22 : x
  2. Step 2: Convert to fraction form
    575.52/793.53 = 470.22/x
  3. Step 3: Cross multiply
    575.52x = 793.53 × 470.22
  4. Step 4: Simplify right side
    575.52x = 373,133.68
  5. Step 5: Solve for x
    x = 373,133.68/575.52
  6. Step 6: Final answer
    x = 648.34

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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.