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Finding the Fourth Proportional to 953.08, 1,313.22 and 642.04

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Solution

The fourth proportional to 953.08, 1,313.22 and 642.04 is: 884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.08 : 1,313.22 = 642.04 : x
  2. Step 2: Convert to fraction form
    953.08/1,313.22 = 642.04/x
  3. Step 3: Cross multiply
    953.08x = 1,313.22 × 642.04
  4. Step 4: Simplify right side
    953.08x = 843,139.77
  5. Step 5: Solve for x
    x = 843,139.77/953.08
  6. Step 6: Final answer
    x = 884.65

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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.