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Finding the Fourth Proportional to 656.19, 903.20 and 544.41

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Solution

The fourth proportional to 656.19, 903.20 and 544.41 is: 749.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.19 : 903.20 = 544.41 : x
  2. Step 2: Convert to fraction form
    656.19/903.20 = 544.41/x
  3. Step 3: Cross multiply
    656.19x = 903.20 × 544.41
  4. Step 4: Simplify right side
    656.19x = 491,711.11
  5. Step 5: Solve for x
    x = 491,711.11/656.19
  6. Step 6: Final answer
    x = 749.34

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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.