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Finding the Fourth Proportional to 883.59, 1,325.15 and 420.44

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Solution

The fourth proportional to 883.59, 1,325.15 and 420.44 is: 630.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.59 : 1,325.15 = 420.44 : x
  2. Step 2: Convert to fraction form
    883.59/1,325.15 = 420.44/x
  3. Step 3: Cross multiply
    883.59x = 1,325.15 × 420.44
  4. Step 4: Simplify right side
    883.59x = 557,146.07
  5. Step 5: Solve for x
    x = 557,146.07/883.59
  6. Step 6: Final answer
    x = 630.55

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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.