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Finding the Fourth Proportional to 714.70, 990.86 and 689.33

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Solution

The fourth proportional to 714.70, 990.86 and 689.33 is: 955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.70 : 990.86 = 689.33 : x
  2. Step 2: Convert to fraction form
    714.70/990.86 = 689.33/x
  3. Step 3: Cross multiply
    714.70x = 990.86 × 689.33
  4. Step 4: Simplify right side
    714.70x = 683,029.05
  5. Step 5: Solve for x
    x = 683,029.05/714.70
  6. Step 6: Final answer
    x = 955.68

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1.5x scale

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.