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Finding the Fourth Proportional to 990.18, 1,478.84 and 784.98

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Solution

The fourth proportional to 990.18, 1,478.84 and 784.98 is: 1,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.18 : 1,478.84 = 784.98 : x
  2. Step 2: Convert to fraction form
    990.18/1,478.84 = 784.98/x
  3. Step 3: Cross multiply
    990.18x = 1,478.84 × 784.98
  4. Step 4: Simplify right side
    990.18x = 1,160,855.90
  5. Step 5: Solve for x
    x = 1,160,855.90/990.18
  6. Step 6: Final answer
    x = 1,172.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.