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Finding the Fourth Proportional to 1,707.71, 2,562.06 and 612.15

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Solution

The fourth proportional to 1,707.71, 2,562.06 and 612.15 is: 918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.71 : 2,562.06 = 612.15 : x
  2. Step 2: Convert to fraction form
    1,707.71/2,562.06 = 612.15/x
  3. Step 3: Cross multiply
    1,707.71x = 2,562.06 × 612.15
  4. Step 4: Simplify right side
    1,707.71x = 1,568,361.97
  5. Step 5: Solve for x
    x = 1,568,361.97/1,707.71
  6. Step 6: Final answer
    x = 918.40

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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.