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Finding the Fourth Proportional to 914.64, 1,365.94 and 769.04

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Solution

The fourth proportional to 914.64, 1,365.94 and 769.04 is: 1,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.64 : 1,365.94 = 769.04 : x
  2. Step 2: Convert to fraction form
    914.64/1,365.94 = 769.04/x
  3. Step 3: Cross multiply
    914.64x = 1,365.94 × 769.04
  4. Step 4: Simplify right side
    914.64x = 1,050,462.50
  5. Step 5: Solve for x
    x = 1,050,462.50/914.64
  6. Step 6: Final answer
    x = 1,148.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.