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Finding the Fourth Proportional to 989.84, 1,485.72 and 717.68

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Solution

The fourth proportional to 989.84, 1,485.72 and 717.68 is: 1,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.84 : 1,485.72 = 717.68 : x
  2. Step 2: Convert to fraction form
    989.84/1,485.72 = 717.68/x
  3. Step 3: Cross multiply
    989.84x = 1,485.72 × 717.68
  4. Step 4: Simplify right side
    989.84x = 1,066,271.53
  5. Step 5: Solve for x
    x = 1,066,271.53/989.84
  6. Step 6: Final answer
    x = 1,077.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.