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Finding the Fourth Proportional to 722.76, 997.26 and 460.68

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Solution

The fourth proportional to 722.76, 997.26 and 460.68 is: 635.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.76 : 997.26 = 460.68 : x
  2. Step 2: Convert to fraction form
    722.76/997.26 = 460.68/x
  3. Step 3: Cross multiply
    722.76x = 997.26 × 460.68
  4. Step 4: Simplify right side
    722.76x = 459,417.74
  5. Step 5: Solve for x
    x = 459,417.74/722.76
  6. Step 6: Final answer
    x = 635.64

Related Problems

Find fourth proportional to 361.38, 498.63 and 230.34
Half scale
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Double scale
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Similar ratio
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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.