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Finding the Fourth Proportional to 704.12, 970.17 and 507.29

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Solution

The fourth proportional to 704.12, 970.17 and 507.29 is: 698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.12 : 970.17 = 507.29 : x
  2. Step 2: Convert to fraction form
    704.12/970.17 = 507.29/x
  3. Step 3: Cross multiply
    704.12x = 970.17 × 507.29
  4. Step 4: Simplify right side
    704.12x = 492,157.54
  5. Step 5: Solve for x
    x = 492,157.54/704.12
  6. Step 6: Final answer
    x = 698.97

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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.