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Finding the Fourth Proportional to 709.01, 978.16 and 522.94

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Solution

The fourth proportional to 709.01, 978.16 and 522.94 is: 721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.01 : 978.16 = 522.94 : x
  2. Step 2: Convert to fraction form
    709.01/978.16 = 522.94/x
  3. Step 3: Cross multiply
    709.01x = 978.16 × 522.94
  4. Step 4: Simplify right side
    709.01x = 511,515.24
  5. Step 5: Solve for x
    x = 511,515.24/709.01
  6. Step 6: Final answer
    x = 721.46

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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.