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Finding the Fourth Proportional to 703.95, 972.30 and 517.17

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Solution

The fourth proportional to 703.95, 972.30 and 517.17 is: 714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.95 : 972.30 = 517.17 : x
  2. Step 2: Convert to fraction form
    703.95/972.30 = 517.17/x
  3. Step 3: Cross multiply
    703.95x = 972.30 × 517.17
  4. Step 4: Simplify right side
    703.95x = 502,844.39
  5. Step 5: Solve for x
    x = 502,844.39/703.95
  6. Step 6: Final answer
    x = 714.32

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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.