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Finding the Fourth Proportional to 989.69, 1,483.51 and 442.13

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Solution

The fourth proportional to 989.69, 1,483.51 and 442.13 is: 662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.69 : 1,483.51 = 442.13 : x
  2. Step 2: Convert to fraction form
    989.69/1,483.51 = 442.13/x
  3. Step 3: Cross multiply
    989.69x = 1,483.51 × 442.13
  4. Step 4: Simplify right side
    989.69x = 655,904.28
  5. Step 5: Solve for x
    x = 655,904.28/989.69
  6. Step 6: Final answer
    x = 662.74

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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.