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Finding the Fourth Proportional to 655.81, 905.53 and 578.05

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Solution

The fourth proportional to 655.81, 905.53 and 578.05 is: 798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.81 : 905.53 = 578.05 : x
  2. Step 2: Convert to fraction form
    655.81/905.53 = 578.05/x
  3. Step 3: Cross multiply
    655.81x = 905.53 × 578.05
  4. Step 4: Simplify right side
    655.81x = 523,444.08
  5. Step 5: Solve for x
    x = 523,444.08/655.81
  6. Step 6: Final answer
    x = 798.16

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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.