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Finding the Fourth Proportional to 989.90, 1,484.04 and 503.54

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Solution

The fourth proportional to 989.90, 1,484.04 and 503.54 is: 754.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.90 : 1,484.04 = 503.54 : x
  2. Step 2: Convert to fraction form
    989.90/1,484.04 = 503.54/x
  3. Step 3: Cross multiply
    989.90x = 1,484.04 × 503.54
  4. Step 4: Simplify right side
    989.90x = 747,273.50
  5. Step 5: Solve for x
    x = 747,273.50/989.90
  6. Step 6: Final answer
    x = 754.90

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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.