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Finding the Fourth Proportional to 1,122.07, 1,679.95 and 847.32

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Solution

The fourth proportional to 1,122.07, 1,679.95 and 847.32 is: 1,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.07 : 1,679.95 = 847.32 : x
  2. Step 2: Convert to fraction form
    1,122.07/1,679.95 = 847.32/x
  3. Step 3: Cross multiply
    1,122.07x = 1,679.95 × 847.32
  4. Step 4: Simplify right side
    1,122.07x = 1,423,455.23
  5. Step 5: Solve for x
    x = 1,423,455.23/1,122.07
  6. Step 6: Final answer
    x = 1,268.60

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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.