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Finding the Fourth Proportional to 985.18, 1,478.00 and 335.92

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Solution

The fourth proportional to 985.18, 1,478.00 and 335.92 is: 503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.18 : 1,478.00 = 335.92 : x
  2. Step 2: Convert to fraction form
    985.18/1,478.00 = 335.92/x
  3. Step 3: Cross multiply
    985.18x = 1,478.00 × 335.92
  4. Step 4: Simplify right side
    985.18x = 496,484.39
  5. Step 5: Solve for x
    x = 496,484.39/985.18
  6. Step 6: Final answer
    x = 503.95

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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.