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Finding the Fourth Proportional to 900.54, 1,346.82 and 553.02

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Solution

The fourth proportional to 900.54, 1,346.82 and 553.02 is: 827.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.54 : 1,346.82 = 553.02 : x
  2. Step 2: Convert to fraction form
    900.54/1,346.82 = 553.02/x
  3. Step 3: Cross multiply
    900.54x = 1,346.82 × 553.02
  4. Step 4: Simplify right side
    900.54x = 744,818.40
  5. Step 5: Solve for x
    x = 744,818.40/900.54
  6. Step 6: Final answer
    x = 827.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.