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Finding the Fourth Proportional to 1,140.39, 1,573.71 and 636.23

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Solution

The fourth proportional to 1,140.39, 1,573.71 and 636.23 is: 877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.39 : 1,573.71 = 636.23 : x
  2. Step 2: Convert to fraction form
    1,140.39/1,573.71 = 636.23/x
  3. Step 3: Cross multiply
    1,140.39x = 1,573.71 × 636.23
  4. Step 4: Simplify right side
    1,140.39x = 1,001,233.64
  5. Step 5: Solve for x
    x = 1,001,233.64/1,140.39
  6. Step 6: Final answer
    x = 877.97

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1.5x scale

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.