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Finding the Fourth Proportional to 899.46, 1,342.20 and 807.54

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Solution

The fourth proportional to 899.46, 1,342.20 and 807.54 is: 1,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.46 : 1,342.20 = 807.54 : x
  2. Step 2: Convert to fraction form
    899.46/1,342.20 = 807.54/x
  3. Step 3: Cross multiply
    899.46x = 1,342.20 × 807.54
  4. Step 4: Simplify right side
    899.46x = 1,083,880.19
  5. Step 5: Solve for x
    x = 1,083,880.19/899.46
  6. Step 6: Final answer
    x = 1,205.03

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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.