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Finding the Fourth Proportional to 585.45, 874.32 and 508.65

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Solution

The fourth proportional to 585.45, 874.32 and 508.65 is: 759.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 874.32 = 508.65 : x
  2. Step 2: Convert to fraction form
    585.45/874.32 = 508.65/x
  3. Step 3: Cross multiply
    585.45x = 874.32 × 508.65
  4. Step 4: Simplify right side
    585.45x = 444,722.87
  5. Step 5: Solve for x
    x = 444,722.87/585.45
  6. Step 6: Final answer
    x = 759.63

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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.