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Finding the Fourth Proportional to 512.15, 718.45 and 512.15

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Solution

The fourth proportional to 512.15, 718.45 and 512.15 is: 718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.15 : 718.45 = 512.15 : x
  2. Step 2: Convert to fraction form
    512.15/718.45 = 512.15/x
  3. Step 3: Cross multiply
    512.15x = 718.45 × 512.15
  4. Step 4: Simplify right side
    512.15x = 367,954.17
  5. Step 5: Solve for x
    x = 367,954.17/512.15
  6. Step 6: Final answer
    x = 718.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.