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Finding the Fourth Proportional to 502.48, 693.50 and 303.40

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Solution

The fourth proportional to 502.48, 693.50 and 303.40 is: 418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.48 : 693.50 = 303.40 : x
  2. Step 2: Convert to fraction form
    502.48/693.50 = 303.40/x
  3. Step 3: Cross multiply
    502.48x = 693.50 × 303.40
  4. Step 4: Simplify right side
    502.48x = 210,407.90
  5. Step 5: Solve for x
    x = 210,407.90/502.48
  6. Step 6: Final answer
    x = 418.74

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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.