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Finding the Fourth Proportional to 670.95, 1,005.99 and 362.61

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Solution

The fourth proportional to 670.95, 1,005.99 and 362.61 is: 543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.95 : 1,005.99 = 362.61 : x
  2. Step 2: Convert to fraction form
    670.95/1,005.99 = 362.61/x
  3. Step 3: Cross multiply
    670.95x = 1,005.99 × 362.61
  4. Step 4: Simplify right side
    670.95x = 364,782.03
  5. Step 5: Solve for x
    x = 364,782.03/670.95
  6. Step 6: Final answer
    x = 543.68

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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.