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Finding the Fourth Proportional to 689.33, 948.45 and 595.77

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Solution

The fourth proportional to 689.33, 948.45 and 595.77 is: 819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.33 : 948.45 = 595.77 : x
  2. Step 2: Convert to fraction form
    689.33/948.45 = 595.77/x
  3. Step 3: Cross multiply
    689.33x = 948.45 × 595.77
  4. Step 4: Simplify right side
    689.33x = 565,058.06
  5. Step 5: Solve for x
    x = 565,058.06/689.33
  6. Step 6: Final answer
    x = 819.73

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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.