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Finding the Fourth Proportional to 710.26, 1,062.69 and 427.77

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Solution

The fourth proportional to 710.26, 1,062.69 and 427.77 is: 640.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.26 : 1,062.69 = 427.77 : x
  2. Step 2: Convert to fraction form
    710.26/1,062.69 = 427.77/x
  3. Step 3: Cross multiply
    710.26x = 1,062.69 × 427.77
  4. Step 4: Simplify right side
    710.26x = 454,586.90
  5. Step 5: Solve for x
    x = 454,586.90/710.26
  6. Step 6: Final answer
    x = 640.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.