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Finding the Fourth Proportional to 575.76, 793.32 and 505.28

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Solution

The fourth proportional to 575.76, 793.32 and 505.28 is: 696.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.76 : 793.32 = 505.28 : x
  2. Step 2: Convert to fraction form
    575.76/793.32 = 505.28/x
  3. Step 3: Cross multiply
    575.76x = 793.32 × 505.28
  4. Step 4: Simplify right side
    575.76x = 400,848.73
  5. Step 5: Solve for x
    x = 400,848.73/575.76
  6. Step 6: Final answer
    x = 696.21

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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.