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Finding the Fourth Proportional to 975.52, 1,345.44 and 828.64

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Solution

The fourth proportional to 975.52, 1,345.44 and 828.64 is: 1,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.52 : 1,345.44 = 828.64 : x
  2. Step 2: Convert to fraction form
    975.52/1,345.44 = 828.64/x
  3. Step 3: Cross multiply
    975.52x = 1,345.44 × 828.64
  4. Step 4: Simplify right side
    975.52x = 1,114,885.40
  5. Step 5: Solve for x
    x = 1,114,885.40/975.52
  6. Step 6: Final answer
    x = 1,142.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.