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Finding the Fourth Proportional to 586.42, 809.64 and 376.69

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Solution

The fourth proportional to 586.42, 809.64 and 376.69 is: 520.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.42 : 809.64 = 376.69 : x
  2. Step 2: Convert to fraction form
    586.42/809.64 = 376.69/x
  3. Step 3: Cross multiply
    586.42x = 809.64 × 376.69
  4. Step 4: Simplify right side
    586.42x = 304,983.29
  5. Step 5: Solve for x
    x = 304,983.29/586.42
  6. Step 6: Final answer
    x = 520.08

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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.