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Finding the Fourth Proportional to 1,633.68, 2,254.68 and 1,004.31

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Solution

The fourth proportional to 1,633.68, 2,254.68 and 1,004.31 is: 1,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633.68 : 2,254.68 = 1,004.31 : x
  2. Step 2: Convert to fraction form
    1,633.68/2,254.68 = 1,004.31/x
  3. Step 3: Cross multiply
    1,633.68x = 2,254.68 × 1,004.31
  4. Step 4: Simplify right side
    1,633.68x = 2,264,397.67
  5. Step 5: Solve for x
    x = 2,264,397.67/1,633.68
  6. Step 6: Final answer
    x = 1,386.07

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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.