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Finding the Fourth Proportional to 683.16, 1,020.14 and 644.76

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Solution

The fourth proportional to 683.16, 1,020.14 and 644.76 is: 962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,020.14 = 644.76 : x
  2. Step 2: Convert to fraction form
    683.16/1,020.14 = 644.76/x
  3. Step 3: Cross multiply
    683.16x = 1,020.14 × 644.76
  4. Step 4: Simplify right side
    683.16x = 657,742.24
  5. Step 5: Solve for x
    x = 657,742.24/683.16
  6. Step 6: Final answer
    x = 962.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.