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Finding the Fourth Proportional to 582.10, 873.49 and 417.39

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Solution

The fourth proportional to 582.10, 873.49 and 417.39 is: 626.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.10 : 873.49 = 417.39 : x
  2. Step 2: Convert to fraction form
    582.10/873.49 = 417.39/x
  3. Step 3: Cross multiply
    582.10x = 873.49 × 417.39
  4. Step 4: Simplify right side
    582.10x = 364,586.43
  5. Step 5: Solve for x
    x = 364,586.43/582.10
  6. Step 6: Final answer
    x = 626.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.