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Finding the Fourth Proportional to 722.16, 997.08 and 598.26

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Solution

The fourth proportional to 722.16, 997.08 and 598.26 is: 826.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.16 : 997.08 = 598.26 : x
  2. Step 2: Convert to fraction form
    722.16/997.08 = 598.26/x
  3. Step 3: Cross multiply
    722.16x = 997.08 × 598.26
  4. Step 4: Simplify right side
    722.16x = 596,513.08
  5. Step 5: Solve for x
    x = 596,513.08/722.16
  6. Step 6: Final answer
    x = 826.01

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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.