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Finding the Fourth Proportional to 585.70, 879.60 and 559.75

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Solution

The fourth proportional to 585.70, 879.60 and 559.75 is: 840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.70 : 879.60 = 559.75 : x
  2. Step 2: Convert to fraction form
    585.70/879.60 = 559.75/x
  3. Step 3: Cross multiply
    585.70x = 879.60 × 559.75
  4. Step 4: Simplify right side
    585.70x = 492,356.10
  5. Step 5: Solve for x
    x = 492,356.10/585.70
  6. Step 6: Final answer
    x = 840.63

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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.