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Finding the Fourth Proportional to 988.41, 1,480.63 and 460.57

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Solution

The fourth proportional to 988.41, 1,480.63 and 460.57 is: 689.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.41 : 1,480.63 = 460.57 : x
  2. Step 2: Convert to fraction form
    988.41/1,480.63 = 460.57/x
  3. Step 3: Cross multiply
    988.41x = 1,480.63 × 460.57
  4. Step 4: Simplify right side
    988.41x = 681,933.76
  5. Step 5: Solve for x
    x = 681,933.76/988.41
  6. Step 6: Final answer
    x = 689.93

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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.