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Finding the Fourth Proportional to 566.69, 845.04 and 521.81

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Solution

The fourth proportional to 566.69, 845.04 and 521.81 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.69 : 845.04 = 521.81 : x
  2. Step 2: Convert to fraction form
    566.69/845.04 = 521.81/x
  3. Step 3: Cross multiply
    566.69x = 845.04 × 521.81
  4. Step 4: Simplify right side
    566.69x = 440,946.10
  5. Step 5: Solve for x
    x = 440,946.10/566.69
  6. Step 6: Final answer
    x = 778.11

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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.