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Finding the Fourth Proportional to 655.46, 898.67 and 643.76

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Solution

The fourth proportional to 655.46, 898.67 and 643.76 is: 882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.46 : 898.67 = 643.76 : x
  2. Step 2: Convert to fraction form
    655.46/898.67 = 643.76/x
  3. Step 3: Cross multiply
    655.46x = 898.67 × 643.76
  4. Step 4: Simplify right side
    655.46x = 578,529.41
  5. Step 5: Solve for x
    x = 578,529.41/655.46
  6. Step 6: Final answer
    x = 882.63

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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.