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Finding the Fourth Proportional to 670.73, 1,004.91 and 587.54

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Solution

The fourth proportional to 670.73, 1,004.91 and 587.54 is: 880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.73 : 1,004.91 = 587.54 : x
  2. Step 2: Convert to fraction form
    670.73/1,004.91 = 587.54/x
  3. Step 3: Cross multiply
    670.73x = 1,004.91 × 587.54
  4. Step 4: Simplify right side
    670.73x = 590,416.86
  5. Step 5: Solve for x
    x = 590,416.86/670.73
  6. Step 6: Final answer
    x = 880.27

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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.