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Finding the Fourth Proportional to 1,011.16, 1,506.52 and 996.90

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Solution

The fourth proportional to 1,011.16, 1,506.52 and 996.90 is: 1,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.16 : 1,506.52 = 996.90 : x
  2. Step 2: Convert to fraction form
    1,011.16/1,506.52 = 996.90/x
  3. Step 3: Cross multiply
    1,011.16x = 1,506.52 × 996.90
  4. Step 4: Simplify right side
    1,011.16x = 1,501,845.38
  5. Step 5: Solve for x
    x = 1,501,845.38/1,011.16
  6. Step 6: Final answer
    x = 1,485.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.