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Finding the Fourth Proportional to 612.25, 916.90 and 465.84

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Solution

The fourth proportional to 612.25, 916.90 and 465.84 is: 697.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.25 : 916.90 = 465.84 : x
  2. Step 2: Convert to fraction form
    612.25/916.90 = 465.84/x
  3. Step 3: Cross multiply
    612.25x = 916.90 × 465.84
  4. Step 4: Simplify right side
    612.25x = 427,128.70
  5. Step 5: Solve for x
    x = 427,128.70/612.25
  6. Step 6: Final answer
    x = 697.64

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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.