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Finding the Fourth Proportional to 1,077.25, 1,615.88 and 428.44

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Solution

The fourth proportional to 1,077.25, 1,615.88 and 428.44 is: 642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.25 : 1,615.88 = 428.44 : x
  2. Step 2: Convert to fraction form
    1,077.25/1,615.88 = 428.44/x
  3. Step 3: Cross multiply
    1,077.25x = 1,615.88 × 428.44
  4. Step 4: Simplify right side
    1,077.25x = 692,307.63
  5. Step 5: Solve for x
    x = 692,307.63/1,077.25
  6. Step 6: Final answer
    x = 642.66

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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.