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Finding the Fourth Proportional to 986.20, 1,360.34 and 706.04

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Solution

The fourth proportional to 986.20, 1,360.34 and 706.04 is: 973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.20 : 1,360.34 = 706.04 : x
  2. Step 2: Convert to fraction form
    986.20/1,360.34 = 706.04/x
  3. Step 3: Cross multiply
    986.20x = 1,360.34 × 706.04
  4. Step 4: Simplify right side
    986.20x = 960,454.45
  5. Step 5: Solve for x
    x = 960,454.45/986.20
  6. Step 6: Final answer
    x = 973.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.