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Finding the Fourth Proportional to 975.78, 1,345.41 and 893.16

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Solution

The fourth proportional to 975.78, 1,345.41 and 893.16 is: 1,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.78 : 1,345.41 = 893.16 : x
  2. Step 2: Convert to fraction form
    975.78/1,345.41 = 893.16/x
  3. Step 3: Cross multiply
    975.78x = 1,345.41 × 893.16
  4. Step 4: Simplify right side
    975.78x = 1,201,666.40
  5. Step 5: Solve for x
    x = 1,201,666.40/975.78
  6. Step 6: Final answer
    x = 1,231.49

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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.