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Finding the Fourth Proportional to 705.08, 971.64 and 508.22

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Solution

The fourth proportional to 705.08, 971.64 and 508.22 is: 700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.08 : 971.64 = 508.22 : x
  2. Step 2: Convert to fraction form
    705.08/971.64 = 508.22/x
  3. Step 3: Cross multiply
    705.08x = 971.64 × 508.22
  4. Step 4: Simplify right side
    705.08x = 493,806.88
  5. Step 5: Solve for x
    x = 493,806.88/705.08
  6. Step 6: Final answer
    x = 700.36

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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.