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Finding the Fourth Proportional to 586.40, 809.08 and 376.48

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Solution

The fourth proportional to 586.40, 809.08 and 376.48 is: 519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.40 : 809.08 = 376.48 : x
  2. Step 2: Convert to fraction form
    586.40/809.08 = 376.48/x
  3. Step 3: Cross multiply
    586.40x = 809.08 × 376.48
  4. Step 4: Simplify right side
    586.40x = 304,602.44
  5. Step 5: Solve for x
    x = 304,602.44/586.40
  6. Step 6: Final answer
    x = 519.44

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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.