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Finding the Fourth Proportional to 852.57, 1,177.70 and 632.66

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Solution

The fourth proportional to 852.57, 1,177.70 and 632.66 is: 873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.57 : 1,177.70 = 632.66 : x
  2. Step 2: Convert to fraction form
    852.57/1,177.70 = 632.66/x
  3. Step 3: Cross multiply
    852.57x = 1,177.70 × 632.66
  4. Step 4: Simplify right side
    852.57x = 745,074.63
  5. Step 5: Solve for x
    x = 745,074.63/852.57
  6. Step 6: Final answer
    x = 873.92

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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.