Home / 1,764.24-2,646.06-465.72

Finding the Fourth Proportional to 1,764.24, 2,646.06 and 465.72

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Solution

The fourth proportional to 1,764.24, 2,646.06 and 465.72 is: 698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.24 : 2,646.06 = 465.72 : x
  2. Step 2: Convert to fraction form
    1,764.24/2,646.06 = 465.72/x
  3. Step 3: Cross multiply
    1,764.24x = 2,646.06 × 465.72
  4. Step 4: Simplify right side
    1,764.24x = 1,232,323.06
  5. Step 5: Solve for x
    x = 1,232,323.06/1,764.24
  6. Step 6: Final answer
    x = 698.50

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1.5x scale

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.