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Finding the Fourth Proportional to 864.42, 1,193.31 and 677.58

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Solution

The fourth proportional to 864.42, 1,193.31 and 677.58 is: 935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.42 : 1,193.31 = 677.58 : x
  2. Step 2: Convert to fraction form
    864.42/1,193.31 = 677.58/x
  3. Step 3: Cross multiply
    864.42x = 1,193.31 × 677.58
  4. Step 4: Simplify right side
    864.42x = 808,562.99
  5. Step 5: Solve for x
    x = 808,562.99/864.42
  6. Step 6: Final answer
    x = 935.38

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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.