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Finding the Fourth Proportional to 670.89, 924.72 and 449.76

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Solution

The fourth proportional to 670.89, 924.72 and 449.76 is: 619.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.89 : 924.72 = 449.76 : x
  2. Step 2: Convert to fraction form
    670.89/924.72 = 449.76/x
  3. Step 3: Cross multiply
    670.89x = 924.72 × 449.76
  4. Step 4: Simplify right side
    670.89x = 415,902.07
  5. Step 5: Solve for x
    x = 415,902.07/670.89
  6. Step 6: Final answer
    x = 619.93

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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.