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Finding the Fourth Proportional to 566.22, 780.57 and 369.66

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Solution

The fourth proportional to 566.22, 780.57 and 369.66 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.22 : 780.57 = 369.66 : x
  2. Step 2: Convert to fraction form
    566.22/780.57 = 369.66/x
  3. Step 3: Cross multiply
    566.22x = 780.57 × 369.66
  4. Step 4: Simplify right side
    566.22x = 288,545.51
  5. Step 5: Solve for x
    x = 288,545.51/566.22
  6. Step 6: Final answer
    x = 509.60

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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.