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Finding the Fourth Proportional to 970.33, 1,455.50 and 683.05

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Solution

The fourth proportional to 970.33, 1,455.50 and 683.05 is: 1,024.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.33 : 1,455.50 = 683.05 : x
  2. Step 2: Convert to fraction form
    970.33/1,455.50 = 683.05/x
  3. Step 3: Cross multiply
    970.33x = 1,455.50 × 683.05
  4. Step 4: Simplify right side
    970.33x = 994,179.28
  5. Step 5: Solve for x
    x = 994,179.28/970.33
  6. Step 6: Final answer
    x = 1,024.58

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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.