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Finding the Fourth Proportional to 883.70, 1,219.55 and 505.70

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Solution

The fourth proportional to 883.70, 1,219.55 and 505.70 is: 697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.70 : 1,219.55 = 505.70 : x
  2. Step 2: Convert to fraction form
    883.70/1,219.55 = 505.70/x
  3. Step 3: Cross multiply
    883.70x = 1,219.55 × 505.70
  4. Step 4: Simplify right side
    883.70x = 616,726.44
  5. Step 5: Solve for x
    x = 616,726.44/883.70
  6. Step 6: Final answer
    x = 697.89

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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.