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Finding the Fourth Proportional to 988.95, 1,364.22 and 802.65

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Solution

The fourth proportional to 988.95, 1,364.22 and 802.65 is: 1,107.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.95 : 1,364.22 = 802.65 : x
  2. Step 2: Convert to fraction form
    988.95/1,364.22 = 802.65/x
  3. Step 3: Cross multiply
    988.95x = 1,364.22 × 802.65
  4. Step 4: Simplify right side
    988.95x = 1,094,991.18
  5. Step 5: Solve for x
    x = 1,094,991.18/988.95
  6. Step 6: Final answer
    x = 1,107.23

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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.