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Finding the Fourth Proportional to 655.44, 904.47 and 515.92

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Solution

The fourth proportional to 655.44, 904.47 and 515.92 is: 711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.44 : 904.47 = 515.92 : x
  2. Step 2: Convert to fraction form
    655.44/904.47 = 515.92/x
  3. Step 3: Cross multiply
    655.44x = 904.47 × 515.92
  4. Step 4: Simplify right side
    655.44x = 466,631.66
  5. Step 5: Solve for x
    x = 466,631.66/655.44
  6. Step 6: Final answer
    x = 711.93

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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.