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Finding the Fourth Proportional to 722.76, 997.86 and 565.12

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Solution

The fourth proportional to 722.76, 997.86 and 565.12 is: 780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.76 : 997.86 = 565.12 : x
  2. Step 2: Convert to fraction form
    722.76/997.86 = 565.12/x
  3. Step 3: Cross multiply
    722.76x = 997.86 × 565.12
  4. Step 4: Simplify right side
    722.76x = 563,910.64
  5. Step 5: Solve for x
    x = 563,910.64/722.76
  6. Step 6: Final answer
    x = 780.22

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Find fourth proportional to 361.38, 498.93 and 282.56
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.