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Finding the Fourth Proportional to 689.85, 952.25 and 468.81

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Solution

The fourth proportional to 689.85, 952.25 and 468.81 is: 647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.85 : 952.25 = 468.81 : x
  2. Step 2: Convert to fraction form
    689.85/952.25 = 468.81/x
  3. Step 3: Cross multiply
    689.85x = 952.25 × 468.81
  4. Step 4: Simplify right side
    689.85x = 446,421.98
  5. Step 5: Solve for x
    x = 446,421.98/689.85
  6. Step 6: Final answer
    x = 647.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.