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Finding the Fourth Proportional to 758.88, 1,137.24 and 374.40

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Solution

The fourth proportional to 758.88, 1,137.24 and 374.40 is: 561.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.88 : 1,137.24 = 374.40 : x
  2. Step 2: Convert to fraction form
    758.88/1,137.24 = 374.40/x
  3. Step 3: Cross multiply
    758.88x = 1,137.24 × 374.40
  4. Step 4: Simplify right side
    758.88x = 425,782.66
  5. Step 5: Solve for x
    x = 425,782.66/758.88
  6. Step 6: Final answer
    x = 561.07

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