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Finding the Fourth Proportional to 575.80, 796.14 and 502.90

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Solution

The fourth proportional to 575.80, 796.14 and 502.90 is: 695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 796.14 = 502.90 : x
  2. Step 2: Convert to fraction form
    575.80/796.14 = 502.90/x
  3. Step 3: Cross multiply
    575.80x = 796.14 × 502.90
  4. Step 4: Simplify right side
    575.80x = 400,378.81
  5. Step 5: Solve for x
    x = 400,378.81/575.80
  6. Step 6: Final answer
    x = 695.34

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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.