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Finding the Fourth Proportional to 784.15, 1,175.58 and 321.77

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Solution

The fourth proportional to 784.15, 1,175.58 and 321.77 is: 482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.15 : 1,175.58 = 321.77 : x
  2. Step 2: Convert to fraction form
    784.15/1,175.58 = 321.77/x
  3. Step 3: Cross multiply
    784.15x = 1,175.58 × 321.77
  4. Step 4: Simplify right side
    784.15x = 378,269.32
  5. Step 5: Solve for x
    x = 378,269.32/784.15
  6. Step 6: Final answer
    x = 482.40

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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.