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Finding the Fourth Proportional to 512.34, 706.75 and 315.51

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Solution

The fourth proportional to 512.34, 706.75 and 315.51 is: 435.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 706.75 = 315.51 : x
  2. Step 2: Convert to fraction form
    512.34/706.75 = 315.51/x
  3. Step 3: Cross multiply
    512.34x = 706.75 × 315.51
  4. Step 4: Simplify right side
    512.34x = 222,986.69
  5. Step 5: Solve for x
    x = 222,986.69/512.34
  6. Step 6: Final answer
    x = 435.23

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1.5x scale

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.