Home / 1,205.02-1,807.36-339.40

Finding the Fourth Proportional to 1,205.02, 1,807.36 and 339.40

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Solution

The fourth proportional to 1,205.02, 1,807.36 and 339.40 is: 509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.02 : 1,807.36 = 339.40 : x
  2. Step 2: Convert to fraction form
    1,205.02/1,807.36 = 339.40/x
  3. Step 3: Cross multiply
    1,205.02x = 1,807.36 × 339.40
  4. Step 4: Simplify right side
    1,205.02x = 613,409.80
  5. Step 5: Solve for x
    x = 613,409.80/1,205.02
  6. Step 6: Final answer
    x = 509.05

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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.