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Finding the Fourth Proportional to 597.48, 893.66 and 520.68

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Solution

The fourth proportional to 597.48, 893.66 and 520.68 is: 778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.48 : 893.66 = 520.68 : x
  2. Step 2: Convert to fraction form
    597.48/893.66 = 520.68/x
  3. Step 3: Cross multiply
    597.48x = 893.66 × 520.68
  4. Step 4: Simplify right side
    597.48x = 465,310.89
  5. Step 5: Solve for x
    x = 465,310.89/597.48
  6. Step 6: Final answer
    x = 778.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.