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Finding the Fourth Proportional to 612.67, 917.99 and 287.59

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Solution

The fourth proportional to 612.67, 917.99 and 287.59 is: 430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.67 : 917.99 = 287.59 : x
  2. Step 2: Convert to fraction form
    612.67/917.99 = 287.59/x
  3. Step 3: Cross multiply
    612.67x = 917.99 × 287.59
  4. Step 4: Simplify right side
    612.67x = 264,004.74
  5. Step 5: Solve for x
    x = 264,004.74/612.67
  6. Step 6: Final answer
    x = 430.91

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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.