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Finding the Fourth Proportional to 1,411.46, 2,117.05 and 486.89

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Solution

The fourth proportional to 1,411.46, 2,117.05 and 486.89 is: 730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.46 : 2,117.05 = 486.89 : x
  2. Step 2: Convert to fraction form
    1,411.46/2,117.05 = 486.89/x
  3. Step 3: Cross multiply
    1,411.46x = 2,117.05 × 486.89
  4. Step 4: Simplify right side
    1,411.46x = 1,030,770.47
  5. Step 5: Solve for x
    x = 1,030,770.47/1,411.46
  6. Step 6: Final answer
    x = 730.29

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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.