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Finding the Fourth Proportional to 582.37, 873.57 and 143.63

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Solution

The fourth proportional to 582.37, 873.57 and 143.63 is: 215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.37 : 873.57 = 143.63 : x
  2. Step 2: Convert to fraction form
    582.37/873.57 = 143.63/x
  3. Step 3: Cross multiply
    582.37x = 873.57 × 143.63
  4. Step 4: Simplify right side
    582.37x = 125,466.13
  5. Step 5: Solve for x
    x = 125,466.13/582.37
  6. Step 6: Final answer
    x = 215.44

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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.