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Finding the Fourth Proportional to 654.19, 900.44 and 542.41

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Solution

The fourth proportional to 654.19, 900.44 and 542.41 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.19 : 900.44 = 542.41 : x
  2. Step 2: Convert to fraction form
    654.19/900.44 = 542.41/x
  3. Step 3: Cross multiply
    654.19x = 900.44 × 542.41
  4. Step 4: Simplify right side
    654.19x = 488,403.16
  5. Step 5: Solve for x
    x = 488,403.16/654.19
  6. Step 6: Final answer
    x = 746.58

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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.