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Finding the Fourth Proportional to 1,135.64, 1,702.90 and 405.12

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Solution

The fourth proportional to 1,135.64, 1,702.90 and 405.12 is: 607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.64 : 1,702.90 = 405.12 : x
  2. Step 2: Convert to fraction form
    1,135.64/1,702.90 = 405.12/x
  3. Step 3: Cross multiply
    1,135.64x = 1,702.90 × 405.12
  4. Step 4: Simplify right side
    1,135.64x = 689,878.85
  5. Step 5: Solve for x
    x = 689,878.85/1,135.64
  6. Step 6: Final answer
    x = 607.48

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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.