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Finding the Fourth Proportional to 703.59, 971.35 and 467.86

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Solution

The fourth proportional to 703.59, 971.35 and 467.86 is: 645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.59 : 971.35 = 467.86 : x
  2. Step 2: Convert to fraction form
    703.59/971.35 = 467.86/x
  3. Step 3: Cross multiply
    703.59x = 971.35 × 467.86
  4. Step 4: Simplify right side
    703.59x = 454,455.35
  5. Step 5: Solve for x
    x = 454,455.35/703.59
  6. Step 6: Final answer
    x = 645.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.