Home / 1,705.85-2,352.88-1,007.36

Finding the Fourth Proportional to 1,705.85, 2,352.88 and 1,007.36

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Solution

The fourth proportional to 1,705.85, 2,352.88 and 1,007.36 is: 1,389.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.85 : 2,352.88 = 1,007.36 : x
  2. Step 2: Convert to fraction form
    1,705.85/2,352.88 = 1,007.36/x
  3. Step 3: Cross multiply
    1,705.85x = 2,352.88 × 1,007.36
  4. Step 4: Simplify right side
    1,705.85x = 2,370,197.20
  5. Step 5: Solve for x
    x = 2,370,197.20/1,705.85
  6. Step 6: Final answer
    x = 1,389.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.