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Finding the Fourth Proportional to 714.42, 987.66 and 683.82

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Solution

The fourth proportional to 714.42, 987.66 and 683.82 is: 945.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.42 : 987.66 = 683.82 : x
  2. Step 2: Convert to fraction form
    714.42/987.66 = 683.82/x
  3. Step 3: Cross multiply
    714.42x = 987.66 × 683.82
  4. Step 4: Simplify right side
    714.42x = 675,381.66
  5. Step 5: Solve for x
    x = 675,381.66/714.42
  6. Step 6: Final answer
    x = 945.36

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1.5x scale

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.