Home / 1,381.02-2,070.80-406.98

Finding the Fourth Proportional to 1,381.02, 2,070.80 and 406.98

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Solution

The fourth proportional to 1,381.02, 2,070.80 and 406.98 is: 610.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.02 : 2,070.80 = 406.98 : x
  2. Step 2: Convert to fraction form
    1,381.02/2,070.80 = 406.98/x
  3. Step 3: Cross multiply
    1,381.02x = 2,070.80 × 406.98
  4. Step 4: Simplify right side
    1,381.02x = 842,774.18
  5. Step 5: Solve for x
    x = 842,774.18/1,381.02
  6. Step 6: Final answer
    x = 610.25

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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.