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Finding the Fourth Proportional to 874.69, 1,207.79 and 595.51

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Solution

The fourth proportional to 874.69, 1,207.79 and 595.51 is: 822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.69 : 1,207.79 = 595.51 : x
  2. Step 2: Convert to fraction form
    874.69/1,207.79 = 595.51/x
  3. Step 3: Cross multiply
    874.69x = 1,207.79 × 595.51
  4. Step 4: Simplify right side
    874.69x = 719,251.02
  5. Step 5: Solve for x
    x = 719,251.02/874.69
  6. Step 6: Final answer
    x = 822.29

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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.