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Finding the Fourth Proportional to 1,458.55, 2,188.63 and 689.03

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Solution

The fourth proportional to 1,458.55, 2,188.63 and 689.03 is: 1,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.55 : 2,188.63 = 689.03 : x
  2. Step 2: Convert to fraction form
    1,458.55/2,188.63 = 689.03/x
  3. Step 3: Cross multiply
    1,458.55x = 2,188.63 × 689.03
  4. Step 4: Simplify right side
    1,458.55x = 1,508,031.73
  5. Step 5: Solve for x
    x = 1,508,031.73/1,458.55
  6. Step 6: Final answer
    x = 1,033.93

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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.