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Finding the Fourth Proportional to 714.29, 989.51 and 697.28

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Solution

The fourth proportional to 714.29, 989.51 and 697.28 is: 965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.29 : 989.51 = 697.28 : x
  2. Step 2: Convert to fraction form
    714.29/989.51 = 697.28/x
  3. Step 3: Cross multiply
    714.29x = 989.51 × 697.28
  4. Step 4: Simplify right side
    714.29x = 689,957.10
  5. Step 5: Solve for x
    x = 689,957.10/714.29
  6. Step 6: Final answer
    x = 965.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.