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Finding the Fourth Proportional to 986.16, 1,360.36 and 690.92

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Solution

The fourth proportional to 986.16, 1,360.36 and 690.92 is: 953.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.16 : 1,360.36 = 690.92 : x
  2. Step 2: Convert to fraction form
    986.16/1,360.36 = 690.92/x
  3. Step 3: Cross multiply
    986.16x = 1,360.36 × 690.92
  4. Step 4: Simplify right side
    986.16x = 939,899.93
  5. Step 5: Solve for x
    x = 939,899.93/986.16
  6. Step 6: Final answer
    x = 953.09

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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.