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Finding the Fourth Proportional to 989.62, 1,476.23 and 913.07

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Solution

The fourth proportional to 989.62, 1,476.23 and 913.07 is: 1,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.62 : 1,476.23 = 913.07 : x
  2. Step 2: Convert to fraction form
    989.62/1,476.23 = 913.07/x
  3. Step 3: Cross multiply
    989.62x = 1,476.23 × 913.07
  4. Step 4: Simplify right side
    989.62x = 1,347,900.45
  5. Step 5: Solve for x
    x = 1,347,900.45/989.62
  6. Step 6: Final answer
    x = 1,362.04

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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.