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Finding the Fourth Proportional to 715.28, 1,072 and 407

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Solution

The fourth proportional to 715.28, 1,072 and 407 is: 609.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.28 : 1,072 = 407 : x
  2. Step 2: Convert to fraction form
    715.28/1,072 = 407/x
  3. Step 3: Cross multiply
    715.28x = 1,072 × 407
  4. Step 4: Simplify right side
    715.28x = 436,304
  5. Step 5: Solve for x
    x = 436,304/715.28
  6. Step 6: Final answer
    x = 609.98

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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.