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Finding the Fourth Proportional to 940.87, 1,411.30 and 478.86

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Solution

The fourth proportional to 940.87, 1,411.30 and 478.86 is: 718.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.87 : 1,411.30 = 478.86 : x
  2. Step 2: Convert to fraction form
    940.87/1,411.30 = 478.86/x
  3. Step 3: Cross multiply
    940.87x = 1,411.30 × 478.86
  4. Step 4: Simplify right side
    940.87x = 675,817.02
  5. Step 5: Solve for x
    x = 675,817.02/940.87
  6. Step 6: Final answer
    x = 718.29

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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.