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Finding the Fourth Proportional to 989.03, 1,483.12 and 468.92

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Solution

The fourth proportional to 989.03, 1,483.12 and 468.92 is: 703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.03 : 1,483.12 = 468.92 : x
  2. Step 2: Convert to fraction form
    989.03/1,483.12 = 468.92/x
  3. Step 3: Cross multiply
    989.03x = 1,483.12 × 468.92
  4. Step 4: Simplify right side
    989.03x = 695,464.63
  5. Step 5: Solve for x
    x = 695,464.63/989.03
  6. Step 6: Final answer
    x = 703.18

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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.