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Finding the Fourth Proportional to 839.21, 1,157.58 and 576.77

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Solution

The fourth proportional to 839.21, 1,157.58 and 576.77 is: 795.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.21 : 1,157.58 = 576.77 : x
  2. Step 2: Convert to fraction form
    839.21/1,157.58 = 576.77/x
  3. Step 3: Cross multiply
    839.21x = 1,157.58 × 576.77
  4. Step 4: Simplify right side
    839.21x = 667,651.63
  5. Step 5: Solve for x
    x = 667,651.63/839.21
  6. Step 6: Final answer
    x = 795.58

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.