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Finding the Fourth Proportional to 1,055.41, 1,575.80 and 989.80

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Solution

The fourth proportional to 1,055.41, 1,575.80 and 989.80 is: 1,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.41 : 1,575.80 = 989.80 : x
  2. Step 2: Convert to fraction form
    1,055.41/1,575.80 = 989.80/x
  3. Step 3: Cross multiply
    1,055.41x = 1,575.80 × 989.80
  4. Step 4: Simplify right side
    1,055.41x = 1,559,726.84
  5. Step 5: Solve for x
    x = 1,559,726.84/1,055.41
  6. Step 6: Final answer
    x = 1,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.