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Finding the Fourth Proportional to 705.98, 974.68 and 470.28

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Solution

The fourth proportional to 705.98, 974.68 and 470.28 is: 649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.98 : 974.68 = 470.28 : x
  2. Step 2: Convert to fraction form
    705.98/974.68 = 470.28/x
  3. Step 3: Cross multiply
    705.98x = 974.68 × 470.28
  4. Step 4: Simplify right side
    705.98x = 458,372.51
  5. Step 5: Solve for x
    x = 458,372.51/705.98
  6. Step 6: Final answer
    x = 649.27

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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.