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Finding the Fourth Proportional to 595.05, 816.29 and 569.85

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Solution

The fourth proportional to 595.05, 816.29 and 569.85 is: 781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.05 : 816.29 = 569.85 : x
  2. Step 2: Convert to fraction form
    595.05/816.29 = 569.85/x
  3. Step 3: Cross multiply
    595.05x = 816.29 × 569.85
  4. Step 4: Simplify right side
    595.05x = 465,160.01
  5. Step 5: Solve for x
    x = 465,160.01/595.05
  6. Step 6: Final answer
    x = 781.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.