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Finding the Fourth Proportional to 1,023.63, 1,527.59 and 914.28

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Solution

The fourth proportional to 1,023.63, 1,527.59 and 914.28 is: 1,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.63 : 1,527.59 = 914.28 : x
  2. Step 2: Convert to fraction form
    1,023.63/1,527.59 = 914.28/x
  3. Step 3: Cross multiply
    1,023.63x = 1,527.59 × 914.28
  4. Step 4: Simplify right side
    1,023.63x = 1,396,644.99
  5. Step 5: Solve for x
    x = 1,396,644.99/1,023.63
  6. Step 6: Final answer
    x = 1,364.40

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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.