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Finding the Fourth Proportional to 988.83, 1,365.93 and 895.68

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Solution

The fourth proportional to 988.83, 1,365.93 and 895.68 is: 1,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.83 : 1,365.93 = 895.68 : x
  2. Step 2: Convert to fraction form
    988.83/1,365.93 = 895.68/x
  3. Step 3: Cross multiply
    988.83x = 1,365.93 × 895.68
  4. Step 4: Simplify right side
    988.83x = 1,223,436.18
  5. Step 5: Solve for x
    x = 1,223,436.18/988.83
  6. Step 6: Final answer
    x = 1,237.26

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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.