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Finding the Fourth Proportional to 1,404.42, 2,106.66 and 430.51

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Solution

The fourth proportional to 1,404.42, 2,106.66 and 430.51 is: 645.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.42 : 2,106.66 = 430.51 : x
  2. Step 2: Convert to fraction form
    1,404.42/2,106.66 = 430.51/x
  3. Step 3: Cross multiply
    1,404.42x = 2,106.66 × 430.51
  4. Step 4: Simplify right side
    1,404.42x = 906,938.20
  5. Step 5: Solve for x
    x = 906,938.20/1,404.42
  6. Step 6: Final answer
    x = 645.77

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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.