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Finding the Fourth Proportional to 1,062.83, 1,594.31 and 445.91

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Solution

The fourth proportional to 1,062.83, 1,594.31 and 445.91 is: 668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.83 : 1,594.31 = 445.91 : x
  2. Step 2: Convert to fraction form
    1,062.83/1,594.31 = 445.91/x
  3. Step 3: Cross multiply
    1,062.83x = 1,594.31 × 445.91
  4. Step 4: Simplify right side
    1,062.83x = 710,908.57
  5. Step 5: Solve for x
    x = 710,908.57/1,062.83
  6. Step 6: Final answer
    x = 668.89

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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.