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Finding the Fourth Proportional to 566.71, 849.35 and 306.70

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Solution

The fourth proportional to 566.71, 849.35 and 306.70 is: 459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.71 : 849.35 = 306.70 : x
  2. Step 2: Convert to fraction form
    566.71/849.35 = 306.70/x
  3. Step 3: Cross multiply
    566.71x = 849.35 × 306.70
  4. Step 4: Simplify right side
    566.71x = 260,495.65
  5. Step 5: Solve for x
    x = 260,495.65/566.71
  6. Step 6: Final answer
    x = 459.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.