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Finding the Fourth Proportional to 612.74, 916.68 and 488.36

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Solution

The fourth proportional to 612.74, 916.68 and 488.36 is: 730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.74 : 916.68 = 488.36 : x
  2. Step 2: Convert to fraction form
    612.74/916.68 = 488.36/x
  3. Step 3: Cross multiply
    612.74x = 916.68 × 488.36
  4. Step 4: Simplify right side
    612.74x = 447,669.84
  5. Step 5: Solve for x
    x = 447,669.84/612.74
  6. Step 6: Final answer
    x = 730.60

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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.