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Finding the Fourth Proportional to 703.64, 1,055.08 and 391.38

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Solution

The fourth proportional to 703.64, 1,055.08 and 391.38 is: 586.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 1,055.08 = 391.38 : x
  2. Step 2: Convert to fraction form
    703.64/1,055.08 = 391.38/x
  3. Step 3: Cross multiply
    703.64x = 1,055.08 × 391.38
  4. Step 4: Simplify right side
    703.64x = 412,937.48
  5. Step 5: Solve for x
    x = 412,937.48/703.64
  6. Step 6: Final answer
    x = 586.86

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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.