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Finding the Fourth Proportional to 899.92, 1,342.52 and 858.64

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Solution

The fourth proportional to 899.92, 1,342.52 and 858.64 is: 1,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.92 : 1,342.52 = 858.64 : x
  2. Step 2: Convert to fraction form
    899.92/1,342.52 = 858.64/x
  3. Step 3: Cross multiply
    899.92x = 1,342.52 × 858.64
  4. Step 4: Simplify right side
    899.92x = 1,152,741.37
  5. Step 5: Solve for x
    x = 1,152,741.37/899.92
  6. Step 6: Final answer
    x = 1,280.94

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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.