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Finding the Fourth Proportional to 1,051.67, 1,577.56 and 358.31

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Solution

The fourth proportional to 1,051.67, 1,577.56 and 358.31 is: 537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.67 : 1,577.56 = 358.31 : x
  2. Step 2: Convert to fraction form
    1,051.67/1,577.56 = 358.31/x
  3. Step 3: Cross multiply
    1,051.67x = 1,577.56 × 358.31
  4. Step 4: Simplify right side
    1,051.67x = 565,255.52
  5. Step 5: Solve for x
    x = 565,255.52/1,051.67
  6. Step 6: Final answer
    x = 537.48

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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.