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Finding the Fourth Proportional to 1,137.64, 1,569.86 and 640.19

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Solution

The fourth proportional to 1,137.64, 1,569.86 and 640.19 is: 883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.64 : 1,569.86 = 640.19 : x
  2. Step 2: Convert to fraction form
    1,137.64/1,569.86 = 640.19/x
  3. Step 3: Cross multiply
    1,137.64x = 1,569.86 × 640.19
  4. Step 4: Simplify right side
    1,137.64x = 1,005,008.67
  5. Step 5: Solve for x
    x = 1,005,008.67/1,137.64
  6. Step 6: Final answer
    x = 883.42

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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.