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Finding the Fourth Proportional to 988.20, 1,484.60 and 619.14

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Solution

The fourth proportional to 988.20, 1,484.60 and 619.14 is: 930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.20 : 1,484.60 = 619.14 : x
  2. Step 2: Convert to fraction form
    988.20/1,484.60 = 619.14/x
  3. Step 3: Cross multiply
    988.20x = 1,484.60 × 619.14
  4. Step 4: Simplify right side
    988.20x = 919,177.72
  5. Step 5: Solve for x
    x = 919,177.72/988.20
  6. Step 6: Final answer
    x = 930.15

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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.