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Finding the Fourth Proportional to 914.55, 1,369.80 and 894.30

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Solution

The fourth proportional to 914.55, 1,369.80 and 894.30 is: 1,339.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.55 : 1,369.80 = 894.30 : x
  2. Step 2: Convert to fraction form
    914.55/1,369.80 = 894.30/x
  3. Step 3: Cross multiply
    914.55x = 1,369.80 × 894.30
  4. Step 4: Simplify right side
    914.55x = 1,225,012.14
  5. Step 5: Solve for x
    x = 1,225,012.14/914.55
  6. Step 6: Final answer
    x = 1,339.47

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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.