Home / 1,285.34-1,927.80-407.64

Finding the Fourth Proportional to 1,285.34, 1,927.80 and 407.64

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Solution

The fourth proportional to 1,285.34, 1,927.80 and 407.64 is: 611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.34 : 1,927.80 = 407.64 : x
  2. Step 2: Convert to fraction form
    1,285.34/1,927.80 = 407.64/x
  3. Step 3: Cross multiply
    1,285.34x = 1,927.80 × 407.64
  4. Step 4: Simplify right side
    1,285.34x = 785,848.39
  5. Step 5: Solve for x
    x = 785,848.39/1,285.34
  6. Step 6: Final answer
    x = 611.39

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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.