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Finding the Fourth Proportional to 676.99, 1,015.64 and 287.02

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Solution

The fourth proportional to 676.99, 1,015.64 and 287.02 is: 430.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.99 : 1,015.64 = 287.02 : x
  2. Step 2: Convert to fraction form
    676.99/1,015.64 = 287.02/x
  3. Step 3: Cross multiply
    676.99x = 1,015.64 × 287.02
  4. Step 4: Simplify right side
    676.99x = 291,509.90
  5. Step 5: Solve for x
    x = 291,509.90/676.99
  6. Step 6: Final answer
    x = 430.60

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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.