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Finding the Fourth Proportional to 676.02, 1,015.65 and 433.02

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Solution

The fourth proportional to 676.02, 1,015.65 and 433.02 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.02 : 1,015.65 = 433.02 : x
  2. Step 2: Convert to fraction form
    676.02/1,015.65 = 433.02/x
  3. Step 3: Cross multiply
    676.02x = 1,015.65 × 433.02
  4. Step 4: Simplify right side
    676.02x = 439,796.76
  5. Step 5: Solve for x
    x = 439,796.76/676.02
  6. Step 6: Final answer
    x = 650.57

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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.