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Finding the Fourth Proportional to 566.45, 782.07 and 370.31

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Solution

The fourth proportional to 566.45, 782.07 and 370.31 is: 511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.45 : 782.07 = 370.31 : x
  2. Step 2: Convert to fraction form
    566.45/782.07 = 370.31/x
  3. Step 3: Cross multiply
    566.45x = 782.07 × 370.31
  4. Step 4: Simplify right side
    566.45x = 289,604.43
  5. Step 5: Solve for x
    x = 289,604.43/566.45
  6. Step 6: Final answer
    x = 511.27

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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.