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Finding the Fourth Proportional to 502.96, 697.28 and 485.16

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Solution

The fourth proportional to 502.96, 697.28 and 485.16 is: 672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.96 : 697.28 = 485.16 : x
  2. Step 2: Convert to fraction form
    502.96/697.28 = 485.16/x
  3. Step 3: Cross multiply
    502.96x = 697.28 × 485.16
  4. Step 4: Simplify right side
    502.96x = 338,292.36
  5. Step 5: Solve for x
    x = 338,292.36/502.96
  6. Step 6: Final answer
    x = 672.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.