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Finding the Fourth Proportional to 852.25, 1,176.59 and 644.89

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Solution

The fourth proportional to 852.25, 1,176.59 and 644.89 is: 890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.25 : 1,176.59 = 644.89 : x
  2. Step 2: Convert to fraction form
    852.25/1,176.59 = 644.89/x
  3. Step 3: Cross multiply
    852.25x = 1,176.59 × 644.89
  4. Step 4: Simplify right side
    852.25x = 758,771.13
  5. Step 5: Solve for x
    x = 758,771.13/852.25
  6. Step 6: Final answer
    x = 890.32

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1.5x scale

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.