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Finding the Fourth Proportional to 989, 1,483.50 and 411.89

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Solution

The fourth proportional to 989, 1,483.50 and 411.89 is: 617.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    989 : 1,483.50 = 411.89 : x
  2. Step 2: Convert to fraction form
    989/1,483.50 = 411.89/x
  3. Step 3: Cross multiply
    989x = 1,483.50 × 411.89
  4. Step 4: Simplify right side
    989x = 611,038.82
  5. Step 5: Solve for x
    x = 611,038.82/989
  6. Step 6: Final answer
    x = 617.84

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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.