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Finding the Fourth Proportional to 689.90, 1,035.53 and 506.78

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Solution

The fourth proportional to 689.90, 1,035.53 and 506.78 is: 760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.90 : 1,035.53 = 506.78 : x
  2. Step 2: Convert to fraction form
    689.90/1,035.53 = 506.78/x
  3. Step 3: Cross multiply
    689.90x = 1,035.53 × 506.78
  4. Step 4: Simplify right side
    689.90x = 524,778.18
  5. Step 5: Solve for x
    x = 524,778.18/689.90
  6. Step 6: Final answer
    x = 760.66

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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.