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Finding the Fourth Proportional to 1,137.02, 1,705.53 and 752.18

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Solution

The fourth proportional to 1,137.02, 1,705.53 and 752.18 is: 1,128.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.02 : 1,705.53 = 752.18 : x
  2. Step 2: Convert to fraction form
    1,137.02/1,705.53 = 752.18/x
  3. Step 3: Cross multiply
    1,137.02x = 1,705.53 × 752.18
  4. Step 4: Simplify right side
    1,137.02x = 1,282,865.56
  5. Step 5: Solve for x
    x = 1,282,865.56/1,137.02
  6. Step 6: Final answer
    x = 1,128.27

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Double scale
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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.