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Finding the Fourth Proportional to 703.71, 1,055.30 and 411.31

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Solution

The fourth proportional to 703.71, 1,055.30 and 411.31 is: 616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.71 : 1,055.30 = 411.31 : x
  2. Step 2: Convert to fraction form
    703.71/1,055.30 = 411.31/x
  3. Step 3: Cross multiply
    703.71x = 1,055.30 × 411.31
  4. Step 4: Simplify right side
    703.71x = 434,056.02
  5. Step 5: Solve for x
    x = 434,056.02/703.71
  6. Step 6: Final answer
    x = 616.81

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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.