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Finding the Fourth Proportional to 986.10, 1,360.17 and 607.79

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Solution

The fourth proportional to 986.10, 1,360.17 and 607.79 is: 838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.10 : 1,360.17 = 607.79 : x
  2. Step 2: Convert to fraction form
    986.10/1,360.17 = 607.79/x
  3. Step 3: Cross multiply
    986.10x = 1,360.17 × 607.79
  4. Step 4: Simplify right side
    986.10x = 826,697.72
  5. Step 5: Solve for x
    x = 826,697.72/986.10
  6. Step 6: Final answer
    x = 838.35

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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.