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Finding the Fourth Proportional to 683.30, 1,029.02 and 619.04

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Solution

The fourth proportional to 683.30, 1,029.02 and 619.04 is: 932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.30 : 1,029.02 = 619.04 : x
  2. Step 2: Convert to fraction form
    683.30/1,029.02 = 619.04/x
  3. Step 3: Cross multiply
    683.30x = 1,029.02 × 619.04
  4. Step 4: Simplify right side
    683.30x = 637,004.54
  5. Step 5: Solve for x
    x = 637,004.54/683.30
  6. Step 6: Final answer
    x = 932.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.