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Finding the Fourth Proportional to 714.92, 1,064.41 and 706.28

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Solution

The fourth proportional to 714.92, 1,064.41 and 706.28 is: 1,051.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.92 : 1,064.41 = 706.28 : x
  2. Step 2: Convert to fraction form
    714.92/1,064.41 = 706.28/x
  3. Step 3: Cross multiply
    714.92x = 1,064.41 × 706.28
  4. Step 4: Simplify right side
    714.92x = 751,771.49
  5. Step 5: Solve for x
    x = 751,771.49/714.92
  6. Step 6: Final answer
    x = 1,051.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.