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Finding the Fourth Proportional to 975.95, 1,456.37 and 888.64

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Solution

The fourth proportional to 975.95, 1,456.37 and 888.64 is: 1,326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.95 : 1,456.37 = 888.64 : x
  2. Step 2: Convert to fraction form
    975.95/1,456.37 = 888.64/x
  3. Step 3: Cross multiply
    975.95x = 1,456.37 × 888.64
  4. Step 4: Simplify right side
    975.95x = 1,294,186.01
  5. Step 5: Solve for x
    x = 1,294,186.01/975.95
  6. Step 6: Final answer
    x = 1,326.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.