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Finding the Fourth Proportional to 590.78, 884.75 and 503.62

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Solution

The fourth proportional to 590.78, 884.75 and 503.62 is: 754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.78 : 884.75 = 503.62 : x
  2. Step 2: Convert to fraction form
    590.78/884.75 = 503.62/x
  3. Step 3: Cross multiply
    590.78x = 884.75 × 503.62
  4. Step 4: Simplify right side
    590.78x = 445,573.07
  5. Step 5: Solve for x
    x = 445,573.07/590.78
  6. Step 6: Final answer
    x = 754.21

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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.