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Finding the Fourth Proportional to 674.75, 1,010.55 and 479.93

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Solution

The fourth proportional to 674.75, 1,010.55 and 479.93 is: 718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.75 : 1,010.55 = 479.93 : x
  2. Step 2: Convert to fraction form
    674.75/1,010.55 = 479.93/x
  3. Step 3: Cross multiply
    674.75x = 1,010.55 × 479.93
  4. Step 4: Simplify right side
    674.75x = 484,993.26
  5. Step 5: Solve for x
    x = 484,993.26/674.75
  6. Step 6: Final answer
    x = 718.77

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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.