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Finding the Fourth Proportional to 1,027.58, 1,541.64 and 540.50

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Solution

The fourth proportional to 1,027.58, 1,541.64 and 540.50 is: 810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.58 : 1,541.64 = 540.50 : x
  2. Step 2: Convert to fraction form
    1,027.58/1,541.64 = 540.50/x
  3. Step 3: Cross multiply
    1,027.58x = 1,541.64 × 540.50
  4. Step 4: Simplify right side
    1,027.58x = 833,256.42
  5. Step 5: Solve for x
    x = 833,256.42/1,027.58
  6. Step 6: Final answer
    x = 810.89

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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.