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Finding the Fourth Proportional to 854.13, 1,281.17 and 277.01

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Solution

The fourth proportional to 854.13, 1,281.17 and 277.01 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.13 : 1,281.17 = 277.01 : x
  2. Step 2: Convert to fraction form
    854.13/1,281.17 = 277.01/x
  3. Step 3: Cross multiply
    854.13x = 1,281.17 × 277.01
  4. Step 4: Simplify right side
    854.13x = 354,889.11
  5. Step 5: Solve for x
    x = 354,889.11/854.13
  6. Step 6: Final answer
    x = 415.50

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Double scale
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1.5x scale

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.