Home / 1,323.46-1,984.83-458.02

Finding the Fourth Proportional to 1,323.46, 1,984.83 and 458.02

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Solution

The fourth proportional to 1,323.46, 1,984.83 and 458.02 is: 686.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.46 : 1,984.83 = 458.02 : x
  2. Step 2: Convert to fraction form
    1,323.46/1,984.83 = 458.02/x
  3. Step 3: Cross multiply
    1,323.46x = 1,984.83 × 458.02
  4. Step 4: Simplify right side
    1,323.46x = 909,091.84
  5. Step 5: Solve for x
    x = 909,091.84/1,323.46
  6. Step 6: Final answer
    x = 686.91

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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.