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Finding the Fourth Proportional to 670.55, 1,004.94 and 465.21

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Solution

The fourth proportional to 670.55, 1,004.94 and 465.21 is: 697.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.55 : 1,004.94 = 465.21 : x
  2. Step 2: Convert to fraction form
    670.55/1,004.94 = 465.21/x
  3. Step 3: Cross multiply
    670.55x = 1,004.94 × 465.21
  4. Step 4: Simplify right side
    670.55x = 467,508.14
  5. Step 5: Solve for x
    x = 467,508.14/670.55
  6. Step 6: Final answer
    x = 697.21

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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.