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Finding the Fourth Proportional to 612.17, 917.73 and 304.17

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Solution

The fourth proportional to 612.17, 917.73 and 304.17 is: 456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.17 : 917.73 = 304.17 : x
  2. Step 2: Convert to fraction form
    612.17/917.73 = 304.17/x
  3. Step 3: Cross multiply
    612.17x = 917.73 × 304.17
  4. Step 4: Simplify right side
    612.17x = 279,145.93
  5. Step 5: Solve for x
    x = 279,145.93/612.17
  6. Step 6: Final answer
    x = 456.00

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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.