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Finding the Fourth Proportional to 988.69, 1,363.87 and 802.39

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Solution

The fourth proportional to 988.69, 1,363.87 and 802.39 is: 1,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.69 : 1,363.87 = 802.39 : x
  2. Step 2: Convert to fraction form
    988.69/1,363.87 = 802.39/x
  3. Step 3: Cross multiply
    988.69x = 1,363.87 × 802.39
  4. Step 4: Simplify right side
    988.69x = 1,094,355.65
  5. Step 5: Solve for x
    x = 1,094,355.65/988.69
  6. Step 6: Final answer
    x = 1,106.87

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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.