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Finding the Fourth Proportional to 988.16, 1,474.29 and 941.72

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Solution

The fourth proportional to 988.16, 1,474.29 and 941.72 is: 1,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.16 : 1,474.29 = 941.72 : x
  2. Step 2: Convert to fraction form
    988.16/1,474.29 = 941.72/x
  3. Step 3: Cross multiply
    988.16x = 1,474.29 × 941.72
  4. Step 4: Simplify right side
    988.16x = 1,388,368.38
  5. Step 5: Solve for x
    x = 1,388,368.38/988.16
  6. Step 6: Final answer
    x = 1,405.00

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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.