Home / 1,285.86-1,929.06-464.10

Finding the Fourth Proportional to 1,285.86, 1,929.06 and 464.10

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Solution

The fourth proportional to 1,285.86, 1,929.06 and 464.10 is: 696.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.86 : 1,929.06 = 464.10 : x
  2. Step 2: Convert to fraction form
    1,285.86/1,929.06 = 464.10/x
  3. Step 3: Cross multiply
    1,285.86x = 1,929.06 × 464.10
  4. Step 4: Simplify right side
    1,285.86x = 895,276.75
  5. Step 5: Solve for x
    x = 895,276.75/1,285.86
  6. Step 6: Final answer
    x = 696.25

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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.