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Finding the Fourth Proportional to 1,211.00, 1,670.95 and 813.23

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Solution

The fourth proportional to 1,211.00, 1,670.95 and 813.23 is: 1,122.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.00 : 1,670.95 = 813.23 : x
  2. Step 2: Convert to fraction form
    1,211.00/1,670.95 = 813.23/x
  3. Step 3: Cross multiply
    1,211.00x = 1,670.95 × 813.23
  4. Step 4: Simplify right side
    1,211.00x = 1,358,862.60
  5. Step 5: Solve for x
    x = 1,358,862.60/1,211.00
  6. Step 6: Final answer
    x = 1,122.10

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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.