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Finding the Fourth Proportional to 689.10, 1,031.49 and 514.77

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Solution

The fourth proportional to 689.10, 1,031.49 and 514.77 is: 770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 1,031.49 = 514.77 : x
  2. Step 2: Convert to fraction form
    689.10/1,031.49 = 514.77/x
  3. Step 3: Cross multiply
    689.10x = 1,031.49 × 514.77
  4. Step 4: Simplify right side
    689.10x = 530,980.11
  5. Step 5: Solve for x
    x = 530,980.11/689.10
  6. Step 6: Final answer
    x = 770.54

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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.