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Finding the Fourth Proportional to 457.56, 689.04 and 419.40

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Solution

The fourth proportional to 457.56, 689.04 and 419.40 is: 631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.56 : 689.04 = 419.40 : x
  2. Step 2: Convert to fraction form
    457.56/689.04 = 419.40/x
  3. Step 3: Cross multiply
    457.56x = 689.04 × 419.40
  4. Step 4: Simplify right side
    457.56x = 288,983.38
  5. Step 5: Solve for x
    x = 288,983.38/457.56
  6. Step 6: Final answer
    x = 631.57

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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.