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Finding the Fourth Proportional to 457.61, 689.56 and 378.23

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Solution

The fourth proportional to 457.61, 689.56 and 378.23 is: 569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.61 : 689.56 = 378.23 : x
  2. Step 2: Convert to fraction form
    457.61/689.56 = 378.23/x
  3. Step 3: Cross multiply
    457.61x = 689.56 × 378.23
  4. Step 4: Simplify right side
    457.61x = 260,810.39
  5. Step 5: Solve for x
    x = 260,810.39/457.61
  6. Step 6: Final answer
    x = 569.94

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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.