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Finding the Fourth Proportional to 655.16, 898.02 and 646.05

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Solution

The fourth proportional to 655.16, 898.02 and 646.05 is: 885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.16 : 898.02 = 646.05 : x
  2. Step 2: Convert to fraction form
    655.16/898.02 = 646.05/x
  3. Step 3: Cross multiply
    655.16x = 898.02 × 646.05
  4. Step 4: Simplify right side
    655.16x = 580,163.58
  5. Step 5: Solve for x
    x = 580,163.58/655.16
  6. Step 6: Final answer
    x = 885.53

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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.