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Finding the Fourth Proportional to 1,223.29, 1,834.84 and 390.32

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Solution

The fourth proportional to 1,223.29, 1,834.84 and 390.32 is: 585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.29 : 1,834.84 = 390.32 : x
  2. Step 2: Convert to fraction form
    1,223.29/1,834.84 = 390.32/x
  3. Step 3: Cross multiply
    1,223.29x = 1,834.84 × 390.32
  4. Step 4: Simplify right side
    1,223.29x = 716,170.75
  5. Step 5: Solve for x
    x = 716,170.75/1,223.29
  6. Step 6: Final answer
    x = 585.45

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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.