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Finding the Fourth Proportional to 612.63, 916.79 and 448.29

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Solution

The fourth proportional to 612.63, 916.79 and 448.29 is: 670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.63 : 916.79 = 448.29 : x
  2. Step 2: Convert to fraction form
    612.63/916.79 = 448.29/x
  3. Step 3: Cross multiply
    612.63x = 916.79 × 448.29
  4. Step 4: Simplify right side
    612.63x = 410,985.55
  5. Step 5: Solve for x
    x = 410,985.55/612.63
  6. Step 6: Final answer
    x = 670.85

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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.