Home / 1,684.02-2,525.90-710.09

Finding the Fourth Proportional to 1,684.02, 2,525.90 and 710.09

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Solution

The fourth proportional to 1,684.02, 2,525.90 and 710.09 is: 1,065.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.02 : 2,525.90 = 710.09 : x
  2. Step 2: Convert to fraction form
    1,684.02/2,525.90 = 710.09/x
  3. Step 3: Cross multiply
    1,684.02x = 2,525.90 × 710.09
  4. Step 4: Simplify right side
    1,684.02x = 1,793,600.15
  5. Step 5: Solve for x
    x = 1,793,600.15/1,684.02
  6. Step 6: Final answer
    x = 1,065.07

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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.