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Finding the Fourth Proportional to 566.34, 780.47 and 408.69

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Solution

The fourth proportional to 566.34, 780.47 and 408.69 is: 563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.34 : 780.47 = 408.69 : x
  2. Step 2: Convert to fraction form
    566.34/780.47 = 408.69/x
  3. Step 3: Cross multiply
    566.34x = 780.47 × 408.69
  4. Step 4: Simplify right side
    566.34x = 318,970.28
  5. Step 5: Solve for x
    x = 318,970.28/566.34
  6. Step 6: Final answer
    x = 563.21

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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.