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Finding the Fourth Proportional to 1,053.78, 1,580.91 and 746.22

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Solution

The fourth proportional to 1,053.78, 1,580.91 and 746.22 is: 1,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.78 : 1,580.91 = 746.22 : x
  2. Step 2: Convert to fraction form
    1,053.78/1,580.91 = 746.22/x
  3. Step 3: Cross multiply
    1,053.78x = 1,580.91 × 746.22
  4. Step 4: Simplify right side
    1,053.78x = 1,179,706.66
  5. Step 5: Solve for x
    x = 1,179,706.66/1,053.78
  6. Step 6: Final answer
    x = 1,119.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.