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Finding the Fourth Proportional to 980.54, 1,352.80 and 607.13

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Solution

The fourth proportional to 980.54, 1,352.80 and 607.13 is: 837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.54 : 1,352.80 = 607.13 : x
  2. Step 2: Convert to fraction form
    980.54/1,352.80 = 607.13/x
  3. Step 3: Cross multiply
    980.54x = 1,352.80 × 607.13
  4. Step 4: Simplify right side
    980.54x = 821,325.46
  5. Step 5: Solve for x
    x = 821,325.46/980.54
  6. Step 6: Final answer
    x = 837.63

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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.