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Finding the Fourth Proportional to 852.15, 1,176.53 and 642.72

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Solution

The fourth proportional to 852.15, 1,176.53 and 642.72 is: 887.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.15 : 1,176.53 = 642.72 : x
  2. Step 2: Convert to fraction form
    852.15/1,176.53 = 642.72/x
  3. Step 3: Cross multiply
    852.15x = 1,176.53 × 642.72
  4. Step 4: Simplify right side
    852.15x = 756,176.15
  5. Step 5: Solve for x
    x = 756,176.15/852.15
  6. Step 6: Final answer
    x = 887.37

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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.