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Finding the Fourth Proportional to 706.69, 973.87 and 470.37

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Solution

The fourth proportional to 706.69, 973.87 and 470.37 is: 648.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 973.87 = 470.37 : x
  2. Step 2: Convert to fraction form
    706.69/973.87 = 470.37/x
  3. Step 3: Cross multiply
    706.69x = 973.87 × 470.37
  4. Step 4: Simplify right side
    706.69x = 458,084.35
  5. Step 5: Solve for x
    x = 458,084.35/706.69
  6. Step 6: Final answer
    x = 648.21

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Double scale
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1.5x scale

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.