Home / 1,154.81-1,731.38-424.40

Finding the Fourth Proportional to 1,154.81, 1,731.38 and 424.40

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Solution

The fourth proportional to 1,154.81, 1,731.38 and 424.40 is: 636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.81 : 1,731.38 = 424.40 : x
  2. Step 2: Convert to fraction form
    1,154.81/1,731.38 = 424.40/x
  3. Step 3: Cross multiply
    1,154.81x = 1,731.38 × 424.40
  4. Step 4: Simplify right side
    1,154.81x = 734,786.89
  5. Step 5: Solve for x
    x = 734,786.89/1,154.81
  6. Step 6: Final answer
    x = 636.28

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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.