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Finding the Fourth Proportional to 1,285.58, 1,772.53 and 1,048.86

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Solution

The fourth proportional to 1,285.58, 1,772.53 and 1,048.86 is: 1,446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.58 : 1,772.53 = 1,048.86 : x
  2. Step 2: Convert to fraction form
    1,285.58/1,772.53 = 1,048.86/x
  3. Step 3: Cross multiply
    1,285.58x = 1,772.53 × 1,048.86
  4. Step 4: Simplify right side
    1,285.58x = 1,859,133.19
  5. Step 5: Solve for x
    x = 1,859,133.19/1,285.58
  6. Step 6: Final answer
    x = 1,446.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.