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Finding the Fourth Proportional to 1,615.64, 2,421.62 and 689.84

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Solution

The fourth proportional to 1,615.64, 2,421.62 and 689.84 is: 1,033.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.64 : 2,421.62 = 689.84 : x
  2. Step 2: Convert to fraction form
    1,615.64/2,421.62 = 689.84/x
  3. Step 3: Cross multiply
    1,615.64x = 2,421.62 × 689.84
  4. Step 4: Simplify right side
    1,615.64x = 1,670,530.34
  5. Step 5: Solve for x
    x = 1,670,530.34/1,615.64
  6. Step 6: Final answer
    x = 1,033.97

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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.