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Finding the Fourth Proportional to 855.40, 1,180.47 and 477.31

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Solution

The fourth proportional to 855.40, 1,180.47 and 477.31 is: 658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.40 : 1,180.47 = 477.31 : x
  2. Step 2: Convert to fraction form
    855.40/1,180.47 = 477.31/x
  3. Step 3: Cross multiply
    855.40x = 1,180.47 × 477.31
  4. Step 4: Simplify right side
    855.40x = 563,450.14
  5. Step 5: Solve for x
    x = 563,450.14/855.40
  6. Step 6: Final answer
    x = 658.70

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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.