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Finding the Fourth Proportional to 689.06, 1,031.90 and 444.84

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Solution

The fourth proportional to 689.06, 1,031.90 and 444.84 is: 666.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.06 : 1,031.90 = 444.84 : x
  2. Step 2: Convert to fraction form
    689.06/1,031.90 = 444.84/x
  3. Step 3: Cross multiply
    689.06x = 1,031.90 × 444.84
  4. Step 4: Simplify right side
    689.06x = 459,028.17
  5. Step 5: Solve for x
    x = 459,028.17/689.06
  6. Step 6: Final answer
    x = 666.17

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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.