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Finding the Fourth Proportional to 1,528.35, 2,292.53 and 554.73

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Solution

The fourth proportional to 1,528.35, 2,292.53 and 554.73 is: 832.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,528.35 : 2,292.53 = 554.73 : x
  2. Step 2: Convert to fraction form
    1,528.35/2,292.53 = 554.73/x
  3. Step 3: Cross multiply
    1,528.35x = 2,292.53 × 554.73
  4. Step 4: Simplify right side
    1,528.35x = 1,271,732.39
  5. Step 5: Solve for x
    x = 1,271,732.39/1,528.35
  6. Step 6: Final answer
    x = 832.10

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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.