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Finding the Fourth Proportional to 704.08, 970.26 and 507.22

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Solution

The fourth proportional to 704.08, 970.26 and 507.22 is: 698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.08 : 970.26 = 507.22 : x
  2. Step 2: Convert to fraction form
    704.08/970.26 = 507.22/x
  3. Step 3: Cross multiply
    704.08x = 970.26 × 507.22
  4. Step 4: Simplify right side
    704.08x = 492,135.28
  5. Step 5: Solve for x
    x = 492,135.28/704.08
  6. Step 6: Final answer
    x = 698.98

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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.