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Finding the Fourth Proportional to 899.03, 1,340.81 and 811.55

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Solution

The fourth proportional to 899.03, 1,340.81 and 811.55 is: 1,210.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.03 : 1,340.81 = 811.55 : x
  2. Step 2: Convert to fraction form
    899.03/1,340.81 = 811.55/x
  3. Step 3: Cross multiply
    899.03x = 1,340.81 × 811.55
  4. Step 4: Simplify right side
    899.03x = 1,088,123.59
  5. Step 5: Solve for x
    x = 1,088,123.59/899.03
  6. Step 6: Final answer
    x = 1,210.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.