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Finding the Fourth Proportional to 1,139.22, 1,572.90 and 840.51

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Solution

The fourth proportional to 1,139.22, 1,572.90 and 840.51 is: 1,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.22 : 1,572.90 = 840.51 : x
  2. Step 2: Convert to fraction form
    1,139.22/1,572.90 = 840.51/x
  3. Step 3: Cross multiply
    1,139.22x = 1,572.90 × 840.51
  4. Step 4: Simplify right side
    1,139.22x = 1,322,038.18
  5. Step 5: Solve for x
    x = 1,322,038.18/1,139.22
  6. Step 6: Final answer
    x = 1,160.48

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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.