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Finding the Fourth Proportional to 1,007.04, 1,511.46 and 642.48

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Solution

The fourth proportional to 1,007.04, 1,511.46 and 642.48 is: 964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.04 : 1,511.46 = 642.48 : x
  2. Step 2: Convert to fraction form
    1,007.04/1,511.46 = 642.48/x
  3. Step 3: Cross multiply
    1,007.04x = 1,511.46 × 642.48
  4. Step 4: Simplify right side
    1,007.04x = 971,082.82
  5. Step 5: Solve for x
    x = 971,082.82/1,007.04
  6. Step 6: Final answer
    x = 964.29

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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.