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Finding the Fourth Proportional to 703.45, 1,055.14 and 337.12

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Solution

The fourth proportional to 703.45, 1,055.14 and 337.12 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.45 : 1,055.14 = 337.12 : x
  2. Step 2: Convert to fraction form
    703.45/1,055.14 = 337.12/x
  3. Step 3: Cross multiply
    703.45x = 1,055.14 × 337.12
  4. Step 4: Simplify right side
    703.45x = 355,708.80
  5. Step 5: Solve for x
    x = 355,708.80/703.45
  6. Step 6: Final answer
    x = 505.66

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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.