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Finding the Fourth Proportional to 379.08, 570.65 and 345.60

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Solution

The fourth proportional to 379.08, 570.65 and 345.60 is: 520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.08 : 570.65 = 345.60 : x
  2. Step 2: Convert to fraction form
    379.08/570.65 = 345.60/x
  3. Step 3: Cross multiply
    379.08x = 570.65 × 345.60
  4. Step 4: Simplify right side
    379.08x = 197,214.91
  5. Step 5: Solve for x
    x = 197,214.91/379.08
  6. Step 6: Final answer
    x = 520.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.