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Finding the Fourth Proportional to 722.17, 995.98 and 470.16

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Solution

The fourth proportional to 722.17, 995.98 and 470.16 is: 648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.17 : 995.98 = 470.16 : x
  2. Step 2: Convert to fraction form
    722.17/995.98 = 470.16/x
  3. Step 3: Cross multiply
    722.17x = 995.98 × 470.16
  4. Step 4: Simplify right side
    722.17x = 468,270.54
  5. Step 5: Solve for x
    x = 468,270.54/722.17
  6. Step 6: Final answer
    x = 648.42

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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.