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Finding the Fourth Proportional to 566.20, 780.42 and 447.40

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Solution

The fourth proportional to 566.20, 780.42 and 447.40 is: 616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.20 : 780.42 = 447.40 : x
  2. Step 2: Convert to fraction form
    566.20/780.42 = 447.40/x
  3. Step 3: Cross multiply
    566.20x = 780.42 × 447.40
  4. Step 4: Simplify right side
    566.20x = 349,159.91
  5. Step 5: Solve for x
    x = 349,159.91/566.20
  6. Step 6: Final answer
    x = 616.67

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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.