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Finding the Fourth Proportional to 566.19, 780.03 and 434.97

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Solution

The fourth proportional to 566.19, 780.03 and 434.97 is: 599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.19 : 780.03 = 434.97 : x
  2. Step 2: Convert to fraction form
    566.19/780.03 = 434.97/x
  3. Step 3: Cross multiply
    566.19x = 780.03 × 434.97
  4. Step 4: Simplify right side
    566.19x = 339,289.65
  5. Step 5: Solve for x
    x = 339,289.65/566.19
  6. Step 6: Final answer
    x = 599.25

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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.