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Finding the Fourth Proportional to 920.30, 1,378.35 and 854.69

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Solution

The fourth proportional to 920.30, 1,378.35 and 854.69 is: 1,280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.30 : 1,378.35 = 854.69 : x
  2. Step 2: Convert to fraction form
    920.30/1,378.35 = 854.69/x
  3. Step 3: Cross multiply
    920.30x = 1,378.35 × 854.69
  4. Step 4: Simplify right side
    920.30x = 1,178,055.07
  5. Step 5: Solve for x
    x = 1,178,055.07/920.30
  6. Step 6: Final answer
    x = 1,280.08

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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.