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Finding the Fourth Proportional to 585.27, 873.61 and 508.77

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Solution

The fourth proportional to 585.27, 873.61 and 508.77 is: 759.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.27 : 873.61 = 508.77 : x
  2. Step 2: Convert to fraction form
    585.27/873.61 = 508.77/x
  3. Step 3: Cross multiply
    585.27x = 873.61 × 508.77
  4. Step 4: Simplify right side
    585.27x = 444,465.29
  5. Step 5: Solve for x
    x = 444,465.29/585.27
  6. Step 6: Final answer
    x = 759.42

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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.