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Finding the Fourth Proportional to 585.60, 879.36 and 393.60

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Solution

The fourth proportional to 585.60, 879.36 and 393.60 is: 591.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 879.36 = 393.60 : x
  2. Step 2: Convert to fraction form
    585.60/879.36 = 393.60/x
  3. Step 3: Cross multiply
    585.60x = 879.36 × 393.60
  4. Step 4: Simplify right side
    585.60x = 346,116.10
  5. Step 5: Solve for x
    x = 346,116.10/585.60
  6. Step 6: Final answer
    x = 591.05

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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.