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Finding the Fourth Proportional to 1,135.25, 1,702.84 and 313.57

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Solution

The fourth proportional to 1,135.25, 1,702.84 and 313.57 is: 470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.25 : 1,702.84 = 313.57 : x
  2. Step 2: Convert to fraction form
    1,135.25/1,702.84 = 313.57/x
  3. Step 3: Cross multiply
    1,135.25x = 1,702.84 × 313.57
  4. Step 4: Simplify right side
    1,135.25x = 533,957.97
  5. Step 5: Solve for x
    x = 533,957.97/1,135.25
  6. Step 6: Final answer
    x = 470.34

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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.