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Finding the Fourth Proportional to 609.51, 912.95 and 566.79

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Solution

The fourth proportional to 609.51, 912.95 and 566.79 is: 848.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.51 : 912.95 = 566.79 : x
  2. Step 2: Convert to fraction form
    609.51/912.95 = 566.79/x
  3. Step 3: Cross multiply
    609.51x = 912.95 × 566.79
  4. Step 4: Simplify right side
    609.51x = 517,450.93
  5. Step 5: Solve for x
    x = 517,450.93/609.51
  6. Step 6: Final answer
    x = 848.96

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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.