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Finding the Fourth Proportional to 586.37, 809.30 and 376.52

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Solution

The fourth proportional to 586.37, 809.30 and 376.52 is: 519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.37 : 809.30 = 376.52 : x
  2. Step 2: Convert to fraction form
    586.37/809.30 = 376.52/x
  3. Step 3: Cross multiply
    586.37x = 809.30 × 376.52
  4. Step 4: Simplify right side
    586.37x = 304,714.53
  5. Step 5: Solve for x
    x = 304,714.53/586.37
  6. Step 6: Final answer
    x = 519.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.