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Finding the Fourth Proportional to 670.12, 1,004.47 and 280.02

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Solution

The fourth proportional to 670.12, 1,004.47 and 280.02 is: 419.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.12 : 1,004.47 = 280.02 : x
  2. Step 2: Convert to fraction form
    670.12/1,004.47 = 280.02/x
  3. Step 3: Cross multiply
    670.12x = 1,004.47 × 280.02
  4. Step 4: Simplify right side
    670.12x = 281,274.76
  5. Step 5: Solve for x
    x = 281,274.76/670.12
  6. Step 6: Final answer
    x = 419.74

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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.