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Finding the Fourth Proportional to 1,397.08, 1,927.75 and 837.41

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Solution

The fourth proportional to 1,397.08, 1,927.75 and 837.41 is: 1,155.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.08 : 1,927.75 = 837.41 : x
  2. Step 2: Convert to fraction form
    1,397.08/1,927.75 = 837.41/x
  3. Step 3: Cross multiply
    1,397.08x = 1,927.75 × 837.41
  4. Step 4: Simplify right side
    1,397.08x = 1,614,317.13
  5. Step 5: Solve for x
    x = 1,614,317.13/1,397.08
  6. Step 6: Final answer
    x = 1,155.49

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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.