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Finding the Fourth Proportional to 412.76, 570.40 and 342.74

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Solution

The fourth proportional to 412.76, 570.40 and 342.74 is: 473.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 570.40 = 342.74 : x
  2. Step 2: Convert to fraction form
    412.76/570.40 = 342.74/x
  3. Step 3: Cross multiply
    412.76x = 570.40 × 342.74
  4. Step 4: Simplify right side
    412.76x = 195,498.90
  5. Step 5: Solve for x
    x = 195,498.90/412.76
  6. Step 6: Final answer
    x = 473.64

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Find fourth proportional to 206.38, 285.20 and 171.37
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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.