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Finding the Fourth Proportional to 584.38, 876.55 and 145.63

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Solution

The fourth proportional to 584.38, 876.55 and 145.63 is: 218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.38 : 876.55 = 145.63 : x
  2. Step 2: Convert to fraction form
    584.38/876.55 = 145.63/x
  3. Step 3: Cross multiply
    584.38x = 876.55 × 145.63
  4. Step 4: Simplify right side
    584.38x = 127,653.25
  5. Step 5: Solve for x
    x = 127,653.25/584.38
  6. Step 6: Final answer
    x = 218.44

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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.