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Finding the Fourth Proportional to 672.87, 1,010.12 and 455.79

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Solution

The fourth proportional to 672.87, 1,010.12 and 455.79 is: 684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.87 : 1,010.12 = 455.79 : x
  2. Step 2: Convert to fraction form
    672.87/1,010.12 = 455.79/x
  3. Step 3: Cross multiply
    672.87x = 1,010.12 × 455.79
  4. Step 4: Simplify right side
    672.87x = 460,400.32
  5. Step 5: Solve for x
    x = 460,400.32/672.87
  6. Step 6: Final answer
    x = 684.23

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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.