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Finding the Fourth Proportional to 612.42, 918.46 and 303.98

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Solution

The fourth proportional to 612.42, 918.46 and 303.98 is: 455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.42 : 918.46 = 303.98 : x
  2. Step 2: Convert to fraction form
    612.42/918.46 = 303.98/x
  3. Step 3: Cross multiply
    612.42x = 918.46 × 303.98
  4. Step 4: Simplify right side
    612.42x = 279,193.47
  5. Step 5: Solve for x
    x = 279,193.47/612.42
  6. Step 6: Final answer
    x = 455.89

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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.