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Finding the Fourth Proportional to 988.47, 1,363.23 and 693.63

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Solution

The fourth proportional to 988.47, 1,363.23 and 693.63 is: 956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.47 : 1,363.23 = 693.63 : x
  2. Step 2: Convert to fraction form
    988.47/1,363.23 = 693.63/x
  3. Step 3: Cross multiply
    988.47x = 1,363.23 × 693.63
  4. Step 4: Simplify right side
    988.47x = 945,577.22
  5. Step 5: Solve for x
    x = 945,577.22/988.47
  6. Step 6: Final answer
    x = 956.61

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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.