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Finding the Fourth Proportional to 993.70, 1,370.02 and 816.01

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Solution

The fourth proportional to 993.70, 1,370.02 and 816.01 is: 1,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.70 : 1,370.02 = 816.01 : x
  2. Step 2: Convert to fraction form
    993.70/1,370.02 = 816.01/x
  3. Step 3: Cross multiply
    993.70x = 1,370.02 × 816.01
  4. Step 4: Simplify right side
    993.70x = 1,117,950.02
  5. Step 5: Solve for x
    x = 1,117,950.02/993.70
  6. Step 6: Final answer
    x = 1,125.04

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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.