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Finding the Fourth Proportional to 1,147.50, 1,583.60 and 650.14

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Solution

The fourth proportional to 1,147.50, 1,583.60 and 650.14 is: 897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147.50 : 1,583.60 = 650.14 : x
  2. Step 2: Convert to fraction form
    1,147.50/1,583.60 = 650.14/x
  3. Step 3: Cross multiply
    1,147.50x = 1,583.60 × 650.14
  4. Step 4: Simplify right side
    1,147.50x = 1,029,561.70
  5. Step 5: Solve for x
    x = 1,029,561.70/1,147.50
  6. Step 6: Final answer
    x = 897.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.