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Finding the Fourth Proportional to 883.10, 1,321.74 and 651.87

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Solution

The fourth proportional to 883.10, 1,321.74 and 651.87 is: 975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.10 : 1,321.74 = 651.87 : x
  2. Step 2: Convert to fraction form
    883.10/1,321.74 = 651.87/x
  3. Step 3: Cross multiply
    883.10x = 1,321.74 × 651.87
  4. Step 4: Simplify right side
    883.10x = 861,602.65
  5. Step 5: Solve for x
    x = 861,602.65/883.10
  6. Step 6: Final answer
    x = 975.65

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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.