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Finding the Fourth Proportional to 610.68, 916.48 and 448.80

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Solution

The fourth proportional to 610.68, 916.48 and 448.80 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.68 : 916.48 = 448.80 : x
  2. Step 2: Convert to fraction form
    610.68/916.48 = 448.80/x
  3. Step 3: Cross multiply
    610.68x = 916.48 × 448.80
  4. Step 4: Simplify right side
    610.68x = 411,316.22
  5. Step 5: Solve for x
    x = 411,316.22/610.68
  6. Step 6: Final answer
    x = 673.54

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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.