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Finding the Fourth Proportional to 570.13, 855.60 and 310.66

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Solution

The fourth proportional to 570.13, 855.60 and 310.66 is: 466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.13 : 855.60 = 310.66 : x
  2. Step 2: Convert to fraction form
    570.13/855.60 = 310.66/x
  3. Step 3: Cross multiply
    570.13x = 855.60 × 310.66
  4. Step 4: Simplify right side
    570.13x = 265,800.70
  5. Step 5: Solve for x
    x = 265,800.70/570.13
  6. Step 6: Final answer
    x = 466.21

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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.