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Finding the Fourth Proportional to 703.43, 970.79 and 517.77

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Solution

The fourth proportional to 703.43, 970.79 and 517.77 is: 714.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.43 : 970.79 = 517.77 : x
  2. Step 2: Convert to fraction form
    703.43/970.79 = 517.77/x
  3. Step 3: Cross multiply
    703.43x = 970.79 × 517.77
  4. Step 4: Simplify right side
    703.43x = 502,643.35
  5. Step 5: Solve for x
    x = 502,643.35/703.43
  6. Step 6: Final answer
    x = 714.56

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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.