Home / 1,154.44-1,731.67-384.94

Finding the Fourth Proportional to 1,154.44, 1,731.67 and 384.94

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Solution

The fourth proportional to 1,154.44, 1,731.67 and 384.94 is: 577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.44 : 1,731.67 = 384.94 : x
  2. Step 2: Convert to fraction form
    1,154.44/1,731.67 = 384.94/x
  3. Step 3: Cross multiply
    1,154.44x = 1,731.67 × 384.94
  4. Step 4: Simplify right side
    1,154.44x = 666,585.20
  5. Step 5: Solve for x
    x = 666,585.20/1,154.44
  6. Step 6: Final answer
    x = 577.41

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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.