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Finding the Fourth Proportional to 613.74, 846.53 and 512.51

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Solution

The fourth proportional to 613.74, 846.53 and 512.51 is: 706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.74 : 846.53 = 512.51 : x
  2. Step 2: Convert to fraction form
    613.74/846.53 = 512.51/x
  3. Step 3: Cross multiply
    613.74x = 846.53 × 512.51
  4. Step 4: Simplify right side
    613.74x = 433,852.97
  5. Step 5: Solve for x
    x = 433,852.97/613.74
  6. Step 6: Final answer
    x = 706.91

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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.