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Finding the Fourth Proportional to 758.64, 1,137.12 and 319.76

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Solution

The fourth proportional to 758.64, 1,137.12 and 319.76 is: 479.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.64 : 1,137.12 = 319.76 : x
  2. Step 2: Convert to fraction form
    758.64/1,137.12 = 319.76/x
  3. Step 3: Cross multiply
    758.64x = 1,137.12 × 319.76
  4. Step 4: Simplify right side
    758.64x = 363,602.87
  5. Step 5: Solve for x
    x = 363,602.87/758.64
  6. Step 6: Final answer
    x = 479.28

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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.