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Finding the Fourth Proportional to 612.30, 916.77 and 395.34

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Solution

The fourth proportional to 612.30, 916.77 and 395.34 is: 591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.30 : 916.77 = 395.34 : x
  2. Step 2: Convert to fraction form
    612.30/916.77 = 395.34/x
  3. Step 3: Cross multiply
    612.30x = 916.77 × 395.34
  4. Step 4: Simplify right side
    612.30x = 362,435.85
  5. Step 5: Solve for x
    x = 362,435.85/612.30
  6. Step 6: Final answer
    x = 591.93

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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.