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Finding the Fourth Proportional to 722.75, 997.16 and 470.57

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Solution

The fourth proportional to 722.75, 997.16 and 470.57 is: 649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.75 : 997.16 = 470.57 : x
  2. Step 2: Convert to fraction form
    722.75/997.16 = 470.57/x
  3. Step 3: Cross multiply
    722.75x = 997.16 × 470.57
  4. Step 4: Simplify right side
    722.75x = 469,226.83
  5. Step 5: Solve for x
    x = 469,226.83/722.75
  6. Step 6: Final answer
    x = 649.22

Related Problems

Find fourth proportional to 361.38, 498.58 and 235.28
Half scale
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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.