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Finding the Fourth Proportional to 670.63, 1,004.56 and 497.49

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Solution

The fourth proportional to 670.63, 1,004.56 and 497.49 is: 745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.63 : 1,004.56 = 497.49 : x
  2. Step 2: Convert to fraction form
    670.63/1,004.56 = 497.49/x
  3. Step 3: Cross multiply
    670.63x = 1,004.56 × 497.49
  4. Step 4: Simplify right side
    670.63x = 499,760.59
  5. Step 5: Solve for x
    x = 499,760.59/670.63
  6. Step 6: Final answer
    x = 745.21

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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.