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Finding the Fourth Proportional to 1,134.94, 1,702.56 and 313.24

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Solution

The fourth proportional to 1,134.94, 1,702.56 and 313.24 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.94 : 1,702.56 = 313.24 : x
  2. Step 2: Convert to fraction form
    1,134.94/1,702.56 = 313.24/x
  3. Step 3: Cross multiply
    1,134.94x = 1,702.56 × 313.24
  4. Step 4: Simplify right side
    1,134.94x = 533,309.89
  5. Step 5: Solve for x
    x = 533,309.89/1,134.94
  6. Step 6: Final answer
    x = 469.90

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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.