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Finding the Fourth Proportional to 1,707.60, 2,562.06 and 885.36

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Solution

The fourth proportional to 1,707.60, 2,562.06 and 885.36 is: 1,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.60 : 2,562.06 = 885.36 : x
  2. Step 2: Convert to fraction form
    1,707.60/2,562.06 = 885.36/x
  3. Step 3: Cross multiply
    1,707.60x = 2,562.06 × 885.36
  4. Step 4: Simplify right side
    1,707.60x = 2,268,345.44
  5. Step 5: Solve for x
    x = 2,268,345.44/1,707.60
  6. Step 6: Final answer
    x = 1,328.38

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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.