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Finding the Fourth Proportional to 684.60, 945.36 and 579.60

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Solution

The fourth proportional to 684.60, 945.36 and 579.60 is: 800.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 945.36 = 579.60 : x
  2. Step 2: Convert to fraction form
    684.60/945.36 = 579.60/x
  3. Step 3: Cross multiply
    684.60x = 945.36 × 579.60
  4. Step 4: Simplify right side
    684.60x = 547,930.66
  5. Step 5: Solve for x
    x = 547,930.66/684.60
  6. Step 6: Final answer
    x = 800.37

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1.5x scale

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.