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Finding the Fourth Proportional to 846.12, 1,262.74 and 753.86

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Solution

The fourth proportional to 846.12, 1,262.74 and 753.86 is: 1,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.12 : 1,262.74 = 753.86 : x
  2. Step 2: Convert to fraction form
    846.12/1,262.74 = 753.86/x
  3. Step 3: Cross multiply
    846.12x = 1,262.74 × 753.86
  4. Step 4: Simplify right side
    846.12x = 951,929.18
  5. Step 5: Solve for x
    x = 951,929.18/846.12
  6. Step 6: Final answer
    x = 1,125.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.