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Finding the Fourth Proportional to 585.05, 873.43 and 520.25

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Solution

The fourth proportional to 585.05, 873.43 and 520.25 is: 776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.05 : 873.43 = 520.25 : x
  2. Step 2: Convert to fraction form
    585.05/873.43 = 520.25/x
  3. Step 3: Cross multiply
    585.05x = 873.43 × 520.25
  4. Step 4: Simplify right side
    585.05x = 454,399.36
  5. Step 5: Solve for x
    x = 454,399.36/585.05
  6. Step 6: Final answer
    x = 776.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.