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Finding the Fourth Proportional to 612.53, 917.98 and 287.21

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Solution

The fourth proportional to 612.53, 917.98 and 287.21 is: 430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.53 : 917.98 = 287.21 : x
  2. Step 2: Convert to fraction form
    612.53/917.98 = 287.21/x
  3. Step 3: Cross multiply
    612.53x = 917.98 × 287.21
  4. Step 4: Simplify right side
    612.53x = 263,654.61
  5. Step 5: Solve for x
    x = 263,654.61/612.53
  6. Step 6: Final answer
    x = 430.44

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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.