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Finding the Fourth Proportional to 410.58, 618.31 and 374.40

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Solution

The fourth proportional to 410.58, 618.31 and 374.40 is: 563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.58 : 618.31 = 374.40 : x
  2. Step 2: Convert to fraction form
    410.58/618.31 = 374.40/x
  3. Step 3: Cross multiply
    410.58x = 618.31 × 374.40
  4. Step 4: Simplify right side
    410.58x = 231,495.26
  5. Step 5: Solve for x
    x = 231,495.26/410.58
  6. Step 6: Final answer
    x = 563.82

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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.