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Finding the Fourth Proportional to 906.64, 1,360.59 and 839.05

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Solution

The fourth proportional to 906.64, 1,360.59 and 839.05 is: 1,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.64 : 1,360.59 = 839.05 : x
  2. Step 2: Convert to fraction form
    906.64/1,360.59 = 839.05/x
  3. Step 3: Cross multiply
    906.64x = 1,360.59 × 839.05
  4. Step 4: Simplify right side
    906.64x = 1,141,603.04
  5. Step 5: Solve for x
    x = 1,141,603.04/906.64
  6. Step 6: Final answer
    x = 1,259.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.