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Finding the Fourth Proportional to 676.59, 1,009.99 and 594.58

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Solution

The fourth proportional to 676.59, 1,009.99 and 594.58 is: 887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 1,009.99 = 594.58 : x
  2. Step 2: Convert to fraction form
    676.59/1,009.99 = 594.58/x
  3. Step 3: Cross multiply
    676.59x = 1,009.99 × 594.58
  4. Step 4: Simplify right side
    676.59x = 600,519.85
  5. Step 5: Solve for x
    x = 600,519.85/676.59
  6. Step 6: Final answer
    x = 887.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.