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Finding the Fourth Proportional to 1,404.84, 2,107.54 and 430.86

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Solution

The fourth proportional to 1,404.84, 2,107.54 and 430.86 is: 646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.84 : 2,107.54 = 430.86 : x
  2. Step 2: Convert to fraction form
    1,404.84/2,107.54 = 430.86/x
  3. Step 3: Cross multiply
    1,404.84x = 2,107.54 × 430.86
  4. Step 4: Simplify right side
    1,404.84x = 908,054.68
  5. Step 5: Solve for x
    x = 908,054.68/1,404.84
  6. Step 6: Final answer
    x = 646.38

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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.