Home / 1,064.34-1,592.87-974.43

Finding the Fourth Proportional to 1,064.34, 1,592.87 and 974.43

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Solution

The fourth proportional to 1,064.34, 1,592.87 and 974.43 is: 1,458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.34 : 1,592.87 = 974.43 : x
  2. Step 2: Convert to fraction form
    1,064.34/1,592.87 = 974.43/x
  3. Step 3: Cross multiply
    1,064.34x = 1,592.87 × 974.43
  4. Step 4: Simplify right side
    1,064.34x = 1,552,135.44
  5. Step 5: Solve for x
    x = 1,552,135.44/1,064.34
  6. Step 6: Final answer
    x = 1,458.31

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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.