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Finding the Fourth Proportional to 654.45, 903.07 and 370.90

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Solution

The fourth proportional to 654.45, 903.07 and 370.90 is: 511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.45 : 903.07 = 370.90 : x
  2. Step 2: Convert to fraction form
    654.45/903.07 = 370.90/x
  3. Step 3: Cross multiply
    654.45x = 903.07 × 370.90
  4. Step 4: Simplify right side
    654.45x = 334,948.66
  5. Step 5: Solve for x
    x = 334,948.66/654.45
  6. Step 6: Final answer
    x = 511.80

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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.