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Finding the Fourth Proportional to 1,137.34, 1,705.88 and 357.31

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Solution

The fourth proportional to 1,137.34, 1,705.88 and 357.31 is: 535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.34 : 1,705.88 = 357.31 : x
  2. Step 2: Convert to fraction form
    1,137.34/1,705.88 = 357.31/x
  3. Step 3: Cross multiply
    1,137.34x = 1,705.88 × 357.31
  4. Step 4: Simplify right side
    1,137.34x = 609,527.98
  5. Step 5: Solve for x
    x = 609,527.98/1,137.34
  6. Step 6: Final answer
    x = 535.92

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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.