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Finding the Fourth Proportional to 589.64, 813.76 and 380

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Solution

The fourth proportional to 589.64, 813.76 and 380 is: 524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.64 : 813.76 = 380 : x
  2. Step 2: Convert to fraction form
    589.64/813.76 = 380/x
  3. Step 3: Cross multiply
    589.64x = 813.76 × 380
  4. Step 4: Simplify right side
    589.64x = 309,228.80
  5. Step 5: Solve for x
    x = 309,228.80/589.64
  6. Step 6: Final answer
    x = 524.44

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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.