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Finding the Fourth Proportional to 1,602.81, 2,211.91 and 894.77

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Solution

The fourth proportional to 1,602.81, 2,211.91 and 894.77 is: 1,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.81 : 2,211.91 = 894.77 : x
  2. Step 2: Convert to fraction form
    1,602.81/2,211.91 = 894.77/x
  3. Step 3: Cross multiply
    1,602.81x = 2,211.91 × 894.77
  4. Step 4: Simplify right side
    1,602.81x = 1,979,151.93
  5. Step 5: Solve for x
    x = 1,979,151.93/1,602.81
  6. Step 6: Final answer
    x = 1,234.80

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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.