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Finding the Fourth Proportional to 502, 693.12 and 346.48

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Solution

The fourth proportional to 502, 693.12 and 346.48 is: 478.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    502 : 693.12 = 346.48 : x
  2. Step 2: Convert to fraction form
    502/693.12 = 346.48/x
  3. Step 3: Cross multiply
    502x = 693.12 × 346.48
  4. Step 4: Simplify right side
    502x = 240,152.22
  5. Step 5: Solve for x
    x = 240,152.22/502
  6. Step 6: Final answer
    x = 478.39

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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.