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Finding the Fourth Proportional to 690.34, 1,037.31 and 646.60

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Solution

The fourth proportional to 690.34, 1,037.31 and 646.60 is: 971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.34 : 1,037.31 = 646.60 : x
  2. Step 2: Convert to fraction form
    690.34/1,037.31 = 646.60/x
  3. Step 3: Cross multiply
    690.34x = 1,037.31 × 646.60
  4. Step 4: Simplify right side
    690.34x = 670,724.65
  5. Step 5: Solve for x
    x = 670,724.65/690.34
  6. Step 6: Final answer
    x = 971.59

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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.