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Finding the Fourth Proportional to 1,607.85, 2,411.72 and 512.28

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Solution

The fourth proportional to 1,607.85, 2,411.72 and 512.28 is: 768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.85 : 2,411.72 = 512.28 : x
  2. Step 2: Convert to fraction form
    1,607.85/2,411.72 = 512.28/x
  3. Step 3: Cross multiply
    1,607.85x = 2,411.72 × 512.28
  4. Step 4: Simplify right side
    1,607.85x = 1,235,475.92
  5. Step 5: Solve for x
    x = 1,235,475.92/1,607.85
  6. Step 6: Final answer
    x = 768.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.