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Finding the Fourth Proportional to 1,054.22, 1,582.25 and 689.45

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Solution

The fourth proportional to 1,054.22, 1,582.25 and 689.45 is: 1,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.22 : 1,582.25 = 689.45 : x
  2. Step 2: Convert to fraction form
    1,054.22/1,582.25 = 689.45/x
  3. Step 3: Cross multiply
    1,054.22x = 1,582.25 × 689.45
  4. Step 4: Simplify right side
    1,054.22x = 1,090,882.77
  5. Step 5: Solve for x
    x = 1,090,882.77/1,054.22
  6. Step 6: Final answer
    x = 1,034.77

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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.