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Finding the Fourth Proportional to 637.18, 879.34 and 357.40

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Solution

The fourth proportional to 637.18, 879.34 and 357.40 is: 493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.18 : 879.34 = 357.40 : x
  2. Step 2: Convert to fraction form
    637.18/879.34 = 357.40/x
  3. Step 3: Cross multiply
    637.18x = 879.34 × 357.40
  4. Step 4: Simplify right side
    637.18x = 314,271.72
  5. Step 5: Solve for x
    x = 314,271.72/637.18
  6. Step 6: Final answer
    x = 493.23

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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.