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Finding the Fourth Proportional to 585.36, 880.48 and 580.48

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Solution

The fourth proportional to 585.36, 880.48 and 580.48 is: 873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.36 : 880.48 = 580.48 : x
  2. Step 2: Convert to fraction form
    585.36/880.48 = 580.48/x
  3. Step 3: Cross multiply
    585.36x = 880.48 × 580.48
  4. Step 4: Simplify right side
    585.36x = 511,101.03
  5. Step 5: Solve for x
    x = 511,101.03/585.36
  6. Step 6: Final answer
    x = 873.14

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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.