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Finding the Fourth Proportional to 730.96, 1,013.74 and 705.04

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Solution

The fourth proportional to 730.96, 1,013.74 and 705.04 is: 977.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.96 : 1,013.74 = 705.04 : x
  2. Step 2: Convert to fraction form
    730.96/1,013.74 = 705.04/x
  3. Step 3: Cross multiply
    730.96x = 1,013.74 × 705.04
  4. Step 4: Simplify right side
    730.96x = 714,727.25
  5. Step 5: Solve for x
    x = 714,727.25/730.96
  6. Step 6: Final answer
    x = 977.79

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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.