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Finding the Fourth Proportional to 1,421.74, 2,131.35 and 555.45

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Solution

The fourth proportional to 1,421.74, 2,131.35 and 555.45 is: 832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.74 : 2,131.35 = 555.45 : x
  2. Step 2: Convert to fraction form
    1,421.74/2,131.35 = 555.45/x
  3. Step 3: Cross multiply
    1,421.74x = 2,131.35 × 555.45
  4. Step 4: Simplify right side
    1,421.74x = 1,183,858.36
  5. Step 5: Solve for x
    x = 1,183,858.36/1,421.74
  6. Step 6: Final answer
    x = 832.68

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1.5x scale

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.