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Finding the Fourth Proportional to 852.19, 1,176.35 and 642.98

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Solution

The fourth proportional to 852.19, 1,176.35 and 642.98 is: 887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.19 : 1,176.35 = 642.98 : x
  2. Step 2: Convert to fraction form
    852.19/1,176.35 = 642.98/x
  3. Step 3: Cross multiply
    852.19x = 1,176.35 × 642.98
  4. Step 4: Simplify right side
    852.19x = 756,369.25
  5. Step 5: Solve for x
    x = 756,369.25/852.19
  6. Step 6: Final answer
    x = 887.56

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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.