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Finding the Fourth Proportional to 670.10, 925.02 and 448.97

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Solution

The fourth proportional to 670.10, 925.02 and 448.97 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.10 : 925.02 = 448.97 : x
  2. Step 2: Convert to fraction form
    670.10/925.02 = 448.97/x
  3. Step 3: Cross multiply
    670.10x = 925.02 × 448.97
  4. Step 4: Simplify right side
    670.10x = 415,301.60
  5. Step 5: Solve for x
    x = 415,301.60/670.10
  6. Step 6: Final answer
    x = 619.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.