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Finding the Fourth Proportional to 655.21, 898.33 and 643.51

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Solution

The fourth proportional to 655.21, 898.33 and 643.51 is: 882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.21 : 898.33 = 643.51 : x
  2. Step 2: Convert to fraction form
    655.21/898.33 = 643.51/x
  3. Step 3: Cross multiply
    655.21x = 898.33 × 643.51
  4. Step 4: Simplify right side
    655.21x = 578,084.34
  5. Step 5: Solve for x
    x = 578,084.34/655.21
  6. Step 6: Final answer
    x = 882.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.