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Finding the Fourth Proportional to 1,209.16, 1,670.01 and 815.50

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Solution

The fourth proportional to 1,209.16, 1,670.01 and 815.50 is: 1,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.16 : 1,670.01 = 815.50 : x
  2. Step 2: Convert to fraction form
    1,209.16/1,670.01 = 815.50/x
  3. Step 3: Cross multiply
    1,209.16x = 1,670.01 × 815.50
  4. Step 4: Simplify right side
    1,209.16x = 1,361,893.16
  5. Step 5: Solve for x
    x = 1,361,893.16/1,209.16
  6. Step 6: Final answer
    x = 1,126.31

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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.