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Finding the Fourth Proportional to 705.27, 1,052.85 and 613.03

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Solution

The fourth proportional to 705.27, 1,052.85 and 613.03 is: 915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.27 : 1,052.85 = 613.03 : x
  2. Step 2: Convert to fraction form
    705.27/1,052.85 = 613.03/x
  3. Step 3: Cross multiply
    705.27x = 1,052.85 × 613.03
  4. Step 4: Simplify right side
    705.27x = 645,430.28
  5. Step 5: Solve for x
    x = 645,430.28/705.27
  6. Step 6: Final answer
    x = 915.16

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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.