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Finding the Fourth Proportional to 1,137.44, 1,569.63 and 640.08

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Solution

The fourth proportional to 1,137.44, 1,569.63 and 640.08 is: 883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.44 : 1,569.63 = 640.08 : x
  2. Step 2: Convert to fraction form
    1,137.44/1,569.63 = 640.08/x
  3. Step 3: Cross multiply
    1,137.44x = 1,569.63 × 640.08
  4. Step 4: Simplify right side
    1,137.44x = 1,004,688.77
  5. Step 5: Solve for x
    x = 1,004,688.77/1,137.44
  6. Step 6: Final answer
    x = 883.29

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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.