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Finding the Fourth Proportional to 705.38, 1,051.81 and 655.16

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Solution

The fourth proportional to 705.38, 1,051.81 and 655.16 is: 976.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.38 : 1,051.81 = 655.16 : x
  2. Step 2: Convert to fraction form
    705.38/1,051.81 = 655.16/x
  3. Step 3: Cross multiply
    705.38x = 1,051.81 × 655.16
  4. Step 4: Simplify right side
    705.38x = 689,096.94
  5. Step 5: Solve for x
    x = 689,096.94/705.38
  6. Step 6: Final answer
    x = 976.92

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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.