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Finding the Fourth Proportional to 512.94, 769.20 and 358.98

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Solution

The fourth proportional to 512.94, 769.20 and 358.98 is: 538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 769.20 = 358.98 : x
  2. Step 2: Convert to fraction form
    512.94/769.20 = 358.98/x
  3. Step 3: Cross multiply
    512.94x = 769.20 × 358.98
  4. Step 4: Simplify right side
    512.94x = 276,127.42
  5. Step 5: Solve for x
    x = 276,127.42/512.94
  6. Step 6: Final answer
    x = 538.32

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1.5x scale

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.