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Finding the Fourth Proportional to 575.25, 793.15 and 469.95

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Solution

The fourth proportional to 575.25, 793.15 and 469.95 is: 647.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.25 : 793.15 = 469.95 : x
  2. Step 2: Convert to fraction form
    575.25/793.15 = 469.95/x
  3. Step 3: Cross multiply
    575.25x = 793.15 × 469.95
  4. Step 4: Simplify right side
    575.25x = 372,740.84
  5. Step 5: Solve for x
    x = 372,740.84/575.25
  6. Step 6: Final answer
    x = 647.96

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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.