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Finding the Fourth Proportional to 595.15, 820.77 and 495.89

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Solution

The fourth proportional to 595.15, 820.77 and 495.89 is: 683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.15 : 820.77 = 495.89 : x
  2. Step 2: Convert to fraction form
    595.15/820.77 = 495.89/x
  3. Step 3: Cross multiply
    595.15x = 820.77 × 495.89
  4. Step 4: Simplify right side
    595.15x = 407,013.69
  5. Step 5: Solve for x
    x = 407,013.69/595.15
  6. Step 6: Final answer
    x = 683.89

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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.