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Finding the Fourth Proportional to 703.64, 971.42 and 625.78

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Solution

The fourth proportional to 703.64, 971.42 and 625.78 is: 863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.64 : 971.42 = 625.78 : x
  2. Step 2: Convert to fraction form
    703.64/971.42 = 625.78/x
  3. Step 3: Cross multiply
    703.64x = 971.42 × 625.78
  4. Step 4: Simplify right side
    703.64x = 607,894.34
  5. Step 5: Solve for x
    x = 607,894.34/703.64
  6. Step 6: Final answer
    x = 863.92

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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.