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Finding the Fourth Proportional to 923.25, 1,271.57 and 858.68

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Solution

The fourth proportional to 923.25, 1,271.57 and 858.68 is: 1,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.25 : 1,271.57 = 858.68 : x
  2. Step 2: Convert to fraction form
    923.25/1,271.57 = 858.68/x
  3. Step 3: Cross multiply
    923.25x = 1,271.57 × 858.68
  4. Step 4: Simplify right side
    923.25x = 1,091,861.08
  5. Step 5: Solve for x
    x = 1,091,861.08/923.25
  6. Step 6: Final answer
    x = 1,182.63

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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.