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Finding the Fourth Proportional to 568.02, 847.64 and 506.66

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Solution

The fourth proportional to 568.02, 847.64 and 506.66 is: 756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.02 : 847.64 = 506.66 : x
  2. Step 2: Convert to fraction form
    568.02/847.64 = 506.66/x
  3. Step 3: Cross multiply
    568.02x = 847.64 × 506.66
  4. Step 4: Simplify right side
    568.02x = 429,464.87
  5. Step 5: Solve for x
    x = 429,464.87/568.02
  6. Step 6: Final answer
    x = 756.07

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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.