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Finding the Fourth Proportional to 457.85, 689.93 and 378.47

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Solution

The fourth proportional to 457.85, 689.93 and 378.47 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.85 : 689.93 = 378.47 : x
  2. Step 2: Convert to fraction form
    457.85/689.93 = 378.47/x
  3. Step 3: Cross multiply
    457.85x = 689.93 × 378.47
  4. Step 4: Simplify right side
    457.85x = 261,112.47
  5. Step 5: Solve for x
    x = 261,112.47/457.85
  6. Step 6: Final answer
    x = 570.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.