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Finding the Fourth Proportional to 487.98, 732.16 and 339.54

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Solution

The fourth proportional to 487.98, 732.16 and 339.54 is: 509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.98 : 732.16 = 339.54 : x
  2. Step 2: Convert to fraction form
    487.98/732.16 = 339.54/x
  3. Step 3: Cross multiply
    487.98x = 732.16 × 339.54
  4. Step 4: Simplify right side
    487.98x = 248,597.61
  5. Step 5: Solve for x
    x = 248,597.61/487.98
  6. Step 6: Final answer
    x = 509.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.