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Finding the Fourth Proportional to 703.78, 1,055.90 and 314.04

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Solution

The fourth proportional to 703.78, 1,055.90 and 314.04 is: 471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.78 : 1,055.90 = 314.04 : x
  2. Step 2: Convert to fraction form
    703.78/1,055.90 = 314.04/x
  3. Step 3: Cross multiply
    703.78x = 1,055.90 × 314.04
  4. Step 4: Simplify right side
    703.78x = 331,594.84
  5. Step 5: Solve for x
    x = 331,594.84/703.78
  6. Step 6: Final answer
    x = 471.16

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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.