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Finding the Fourth Proportional to 412.46, 570.29 and 360.59

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Solution

The fourth proportional to 412.46, 570.29 and 360.59 is: 498.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.46 : 570.29 = 360.59 : x
  2. Step 2: Convert to fraction form
    412.46/570.29 = 360.59/x
  3. Step 3: Cross multiply
    412.46x = 570.29 × 360.59
  4. Step 4: Simplify right side
    412.46x = 205,636.22
  5. Step 5: Solve for x
    x = 205,636.22/412.46
  6. Step 6: Final answer
    x = 498.57

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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.