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Finding the Fourth Proportional to 1,054.91, 1,575.06 and 989.30

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Solution

The fourth proportional to 1,054.91, 1,575.06 and 989.30 is: 1,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.91 : 1,575.06 = 989.30 : x
  2. Step 2: Convert to fraction form
    1,054.91/1,575.06 = 989.30/x
  3. Step 3: Cross multiply
    1,054.91x = 1,575.06 × 989.30
  4. Step 4: Simplify right side
    1,054.91x = 1,558,206.86
  5. Step 5: Solve for x
    x = 1,558,206.86/1,054.91
  6. Step 6: Final answer
    x = 1,477.10

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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.