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Finding the Fourth Proportional to 990.04, 1,483.08 and 784.96

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Solution

The fourth proportional to 990.04, 1,483.08 and 784.96 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.04 : 1,483.08 = 784.96 : x
  2. Step 2: Convert to fraction form
    990.04/1,483.08 = 784.96/x
  3. Step 3: Cross multiply
    990.04x = 1,483.08 × 784.96
  4. Step 4: Simplify right side
    990.04x = 1,164,158.48
  5. Step 5: Solve for x
    x = 1,164,158.48/990.04
  6. Step 6: Final answer
    x = 1,175.87

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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.