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Finding the Fourth Proportional to 1,308.45, 1,962.61 and 658.69

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Solution

The fourth proportional to 1,308.45, 1,962.61 and 658.69 is: 988.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.45 : 1,962.61 = 658.69 : x
  2. Step 2: Convert to fraction form
    1,308.45/1,962.61 = 658.69/x
  3. Step 3: Cross multiply
    1,308.45x = 1,962.61 × 658.69
  4. Step 4: Simplify right side
    1,308.45x = 1,292,751.58
  5. Step 5: Solve for x
    x = 1,292,751.58/1,308.45
  6. Step 6: Final answer
    x = 988.00

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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.