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Finding the Fourth Proportional to 689.72, 952.53 and 590.90

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Solution

The fourth proportional to 689.72, 952.53 and 590.90 is: 816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.72 : 952.53 = 590.90 : x
  2. Step 2: Convert to fraction form
    689.72/952.53 = 590.90/x
  3. Step 3: Cross multiply
    689.72x = 952.53 × 590.90
  4. Step 4: Simplify right side
    689.72x = 562,849.98
  5. Step 5: Solve for x
    x = 562,849.98/689.72
  6. Step 6: Final answer
    x = 816.06

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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.