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Finding the Fourth Proportional to 975.78, 1,345.02 and 895.34

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Solution

The fourth proportional to 975.78, 1,345.02 and 895.34 is: 1,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,345.02 = 895.34 : x
  2. Step 2: Convert to fraction form
    975.78/1,345.02 = 895.34/x
  3. Step 3: Cross multiply
    975.78x = 1,345.02 × 895.34
  4. Step 4: Simplify right side
    975.78x = 1,204,250.21
  5. Step 5: Solve for x
    x = 1,204,250.21/975.78
  6. Step 6: Final answer
    x = 1,234.14

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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.