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Finding the Fourth Proportional to 1,256.03, 1,884.33 and 434.32

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Solution

The fourth proportional to 1,256.03, 1,884.33 and 434.32 is: 651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.03 : 1,884.33 = 434.32 : x
  2. Step 2: Convert to fraction form
    1,256.03/1,884.33 = 434.32/x
  3. Step 3: Cross multiply
    1,256.03x = 1,884.33 × 434.32
  4. Step 4: Simplify right side
    1,256.03x = 818,402.21
  5. Step 5: Solve for x
    x = 818,402.21/1,256.03
  6. Step 6: Final answer
    x = 651.58

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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.