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Finding the Fourth Proportional to 858.16, 1,289.62 and 837.32

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Solution

The fourth proportional to 858.16, 1,289.62 and 837.32 is: 1,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.16 : 1,289.62 = 837.32 : x
  2. Step 2: Convert to fraction form
    858.16/1,289.62 = 837.32/x
  3. Step 3: Cross multiply
    858.16x = 1,289.62 × 837.32
  4. Step 4: Simplify right side
    858.16x = 1,079,826.47
  5. Step 5: Solve for x
    x = 1,079,826.47/858.16
  6. Step 6: Final answer
    x = 1,258.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.