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Finding the Fourth Proportional to 1,100.02, 1,516.42 and 837.58

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Solution

The fourth proportional to 1,100.02, 1,516.42 and 837.58 is: 1,154.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.02 : 1,516.42 = 837.58 : x
  2. Step 2: Convert to fraction form
    1,100.02/1,516.42 = 837.58/x
  3. Step 3: Cross multiply
    1,100.02x = 1,516.42 × 837.58
  4. Step 4: Simplify right side
    1,100.02x = 1,270,123.06
  5. Step 5: Solve for x
    x = 1,270,123.06/1,100.02
  6. Step 6: Final answer
    x = 1,154.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.