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Finding the Fourth Proportional to 1,137.59, 1,569.95 and 640.25

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Solution

The fourth proportional to 1,137.59, 1,569.95 and 640.25 is: 883.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.59 : 1,569.95 = 640.25 : x
  2. Step 2: Convert to fraction form
    1,137.59/1,569.95 = 640.25/x
  3. Step 3: Cross multiply
    1,137.59x = 1,569.95 × 640.25
  4. Step 4: Simplify right side
    1,137.59x = 1,005,149.44
  5. Step 5: Solve for x
    x = 1,005,149.44/1,137.59
  6. Step 6: Final answer
    x = 883.58

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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.