Home / 1,284.90-1,927.28-407.36

Finding the Fourth Proportional to 1,284.90, 1,927.28 and 407.36

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Solution

The fourth proportional to 1,284.90, 1,927.28 and 407.36 is: 611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.90 : 1,927.28 = 407.36 : x
  2. Step 2: Convert to fraction form
    1,284.90/1,927.28 = 407.36/x
  3. Step 3: Cross multiply
    1,284.90x = 1,927.28 × 407.36
  4. Step 4: Simplify right side
    1,284.90x = 785,096.78
  5. Step 5: Solve for x
    x = 785,096.78/1,284.90
  6. Step 6: Final answer
    x = 611.02

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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.