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Finding the Fourth Proportional to 722.76, 997.38 and 428.16

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Solution

The fourth proportional to 722.76, 997.38 and 428.16 is: 590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.76 : 997.38 = 428.16 : x
  2. Step 2: Convert to fraction form
    722.76/997.38 = 428.16/x
  3. Step 3: Cross multiply
    722.76x = 997.38 × 428.16
  4. Step 4: Simplify right side
    722.76x = 427,038.22
  5. Step 5: Solve for x
    x = 427,038.22/722.76
  6. Step 6: Final answer
    x = 590.84

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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.