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Finding the Fourth Proportional to 990.35, 1,484.78 and 332.00

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Solution

The fourth proportional to 990.35, 1,484.78 and 332.00 is: 497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.35 : 1,484.78 = 332.00 : x
  2. Step 2: Convert to fraction form
    990.35/1,484.78 = 332.00/x
  3. Step 3: Cross multiply
    990.35x = 1,484.78 × 332.00
  4. Step 4: Simplify right side
    990.35x = 492,945.31
  5. Step 5: Solve for x
    x = 492,945.31/990.35
  6. Step 6: Final answer
    x = 497.75

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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.