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Finding the Fourth Proportional to 702.31, 1,053.48 and 263.51

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Solution

The fourth proportional to 702.31, 1,053.48 and 263.51 is: 395.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.31 : 1,053.48 = 263.51 : x
  2. Step 2: Convert to fraction form
    702.31/1,053.48 = 263.51/x
  3. Step 3: Cross multiply
    702.31x = 1,053.48 × 263.51
  4. Step 4: Simplify right side
    702.31x = 277,604.33
  5. Step 5: Solve for x
    x = 277,604.33/702.31
  6. Step 6: Final answer
    x = 395.28

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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.