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Finding the Fourth Proportional to 1,219.04, 1,829.28 and 642.56

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Solution

The fourth proportional to 1,219.04, 1,829.28 and 642.56 is: 964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.04 : 1,829.28 = 642.56 : x
  2. Step 2: Convert to fraction form
    1,219.04/1,829.28 = 642.56/x
  3. Step 3: Cross multiply
    1,219.04x = 1,829.28 × 642.56
  4. Step 4: Simplify right side
    1,219.04x = 1,175,422.16
  5. Step 5: Solve for x
    x = 1,175,422.16/1,219.04
  6. Step 6: Final answer
    x = 964.22

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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.