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Finding the Fourth Proportional to 566.02, 780.96 and 408.70

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Solution

The fourth proportional to 566.02, 780.96 and 408.70 is: 563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.02 : 780.96 = 408.70 : x
  2. Step 2: Convert to fraction form
    566.02/780.96 = 408.70/x
  3. Step 3: Cross multiply
    566.02x = 780.96 × 408.70
  4. Step 4: Simplify right side
    566.02x = 319,178.35
  5. Step 5: Solve for x
    x = 319,178.35/566.02
  6. Step 6: Final answer
    x = 563.90

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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.