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Finding the Fourth Proportional to 1,010.02, 1,384.50 and 993.02

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Solution

The fourth proportional to 1,010.02, 1,384.50 and 993.02 is: 1,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.02 : 1,384.50 = 993.02 : x
  2. Step 2: Convert to fraction form
    1,010.02/1,384.50 = 993.02/x
  3. Step 3: Cross multiply
    1,010.02x = 1,384.50 × 993.02
  4. Step 4: Simplify right side
    1,010.02x = 1,374,836.19
  5. Step 5: Solve for x
    x = 1,374,836.19/1,010.02
  6. Step 6: Final answer
    x = 1,361.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.