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Finding the Fourth Proportional to 655.42, 900.43 and 586.39

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Solution

The fourth proportional to 655.42, 900.43 and 586.39 is: 805.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.42 : 900.43 = 586.39 : x
  2. Step 2: Convert to fraction form
    655.42/900.43 = 586.39/x
  3. Step 3: Cross multiply
    655.42x = 900.43 × 586.39
  4. Step 4: Simplify right side
    655.42x = 528,001.94
  5. Step 5: Solve for x
    x = 528,001.94/655.42
  6. Step 6: Final answer
    x = 805.60

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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.