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Finding the Fourth Proportional to 1,689.82, 2,533.63 and 703.31

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Solution

The fourth proportional to 1,689.82, 2,533.63 and 703.31 is: 1,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.82 : 2,533.63 = 703.31 : x
  2. Step 2: Convert to fraction form
    1,689.82/2,533.63 = 703.31/x
  3. Step 3: Cross multiply
    1,689.82x = 2,533.63 × 703.31
  4. Step 4: Simplify right side
    1,689.82x = 1,781,925.03
  5. Step 5: Solve for x
    x = 1,781,925.03/1,689.82
  6. Step 6: Final answer
    x = 1,054.51

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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.