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Finding the Fourth Proportional to 1,135.14, 1,702.30 and 404.58

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Solution

The fourth proportional to 1,135.14, 1,702.30 and 404.58 is: 606.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.14 : 1,702.30 = 404.58 : x
  2. Step 2: Convert to fraction form
    1,135.14/1,702.30 = 404.58/x
  3. Step 3: Cross multiply
    1,135.14x = 1,702.30 × 404.58
  4. Step 4: Simplify right side
    1,135.14x = 688,716.53
  5. Step 5: Solve for x
    x = 688,716.53/1,135.14
  6. Step 6: Final answer
    x = 606.72

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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.