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Finding the Fourth Proportional to 1,059.92, 1,461.96 and 645.20

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Solution

The fourth proportional to 1,059.92, 1,461.96 and 645.20 is: 889.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.92 : 1,461.96 = 645.20 : x
  2. Step 2: Convert to fraction form
    1,059.92/1,461.96 = 645.20/x
  3. Step 3: Cross multiply
    1,059.92x = 1,461.96 × 645.20
  4. Step 4: Simplify right side
    1,059.92x = 943,256.59
  5. Step 5: Solve for x
    x = 943,256.59/1,059.92
  6. Step 6: Final answer
    x = 889.93

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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.