Home / 1,323.63-1,984.19-457.34

Finding the Fourth Proportional to 1,323.63, 1,984.19 and 457.34

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Solution

The fourth proportional to 1,323.63, 1,984.19 and 457.34 is: 685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.63 : 1,984.19 = 457.34 : x
  2. Step 2: Convert to fraction form
    1,323.63/1,984.19 = 457.34/x
  3. Step 3: Cross multiply
    1,323.63x = 1,984.19 × 457.34
  4. Step 4: Simplify right side
    1,323.63x = 907,437.25
  5. Step 5: Solve for x
    x = 907,437.25/1,323.63
  6. Step 6: Final answer
    x = 685.57

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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.