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Finding the Fourth Proportional to 1,137.05, 1,705.58 and 488.24

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Solution

The fourth proportional to 1,137.05, 1,705.58 and 488.24 is: 732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.05 : 1,705.58 = 488.24 : x
  2. Step 2: Convert to fraction form
    1,137.05/1,705.58 = 488.24/x
  3. Step 3: Cross multiply
    1,137.05x = 1,705.58 × 488.24
  4. Step 4: Simplify right side
    1,137.05x = 832,734.20
  5. Step 5: Solve for x
    x = 832,734.20/1,137.05
  6. Step 6: Final answer
    x = 732.36

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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.