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Finding the Fourth Proportional to 1,187.01, 1,780.25 and 456.21

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Solution

The fourth proportional to 1,187.01, 1,780.25 and 456.21 is: 684.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.01 : 1,780.25 = 456.21 : x
  2. Step 2: Convert to fraction form
    1,187.01/1,780.25 = 456.21/x
  3. Step 3: Cross multiply
    1,187.01x = 1,780.25 × 456.21
  4. Step 4: Simplify right side
    1,187.01x = 812,165.57
  5. Step 5: Solve for x
    x = 812,165.57/1,187.01
  6. Step 6: Final answer
    x = 684.21

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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.