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Finding the Fourth Proportional to 612.03, 917.30 and 282.50

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Solution

The fourth proportional to 612.03, 917.30 and 282.50 is: 423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.03 : 917.30 = 282.50 : x
  2. Step 2: Convert to fraction form
    612.03/917.30 = 282.50/x
  3. Step 3: Cross multiply
    612.03x = 917.30 × 282.50
  4. Step 4: Simplify right side
    612.03x = 259,131.25
  5. Step 5: Solve for x
    x = 259,131.25/612.03
  6. Step 6: Final answer
    x = 423.40

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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.