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Finding the Fourth Proportional to 993.66, 1,371.10 and 640.06

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Solution

The fourth proportional to 993.66, 1,371.10 and 640.06 is: 883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.66 : 1,371.10 = 640.06 : x
  2. Step 2: Convert to fraction form
    993.66/1,371.10 = 640.06/x
  3. Step 3: Cross multiply
    993.66x = 1,371.10 × 640.06
  4. Step 4: Simplify right side
    993.66x = 877,582.84
  5. Step 5: Solve for x
    x = 877,582.84/993.66
  6. Step 6: Final answer
    x = 883.19

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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.