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Finding the Fourth Proportional to 1,404.40, 2,106.80 and 430.32

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Solution

The fourth proportional to 1,404.40, 2,106.80 and 430.32 is: 645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.40 : 2,106.80 = 430.32 : x
  2. Step 2: Convert to fraction form
    1,404.40/2,106.80 = 430.32/x
  3. Step 3: Cross multiply
    1,404.40x = 2,106.80 × 430.32
  4. Step 4: Simplify right side
    1,404.40x = 906,598.18
  5. Step 5: Solve for x
    x = 906,598.18/1,404.40
  6. Step 6: Final answer
    x = 645.54

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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.