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Finding the Fourth Proportional to 1,085.57, 1,497.09 and 815.32

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Solution

The fourth proportional to 1,085.57, 1,497.09 and 815.32 is: 1,124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.57 : 1,497.09 = 815.32 : x
  2. Step 2: Convert to fraction form
    1,085.57/1,497.09 = 815.32/x
  3. Step 3: Cross multiply
    1,085.57x = 1,497.09 × 815.32
  4. Step 4: Simplify right side
    1,085.57x = 1,220,599.34
  5. Step 5: Solve for x
    x = 1,220,599.34/1,085.57
  6. Step 6: Final answer
    x = 1,124.38

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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.