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Finding the Fourth Proportional to 683.84, 1,024.40 and 627.84

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Solution

The fourth proportional to 683.84, 1,024.40 and 627.84 is: 940.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.84 : 1,024.40 = 627.84 : x
  2. Step 2: Convert to fraction form
    683.84/1,024.40 = 627.84/x
  3. Step 3: Cross multiply
    683.84x = 1,024.40 × 627.84
  4. Step 4: Simplify right side
    683.84x = 643,159.30
  5. Step 5: Solve for x
    x = 643,159.30/683.84
  6. Step 6: Final answer
    x = 940.51

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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.