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Finding the Fourth Proportional to 837.19, 1,253.76 and 653.05

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Solution

The fourth proportional to 837.19, 1,253.76 and 653.05 is: 978.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.19 : 1,253.76 = 653.05 : x
  2. Step 2: Convert to fraction form
    837.19/1,253.76 = 653.05/x
  3. Step 3: Cross multiply
    837.19x = 1,253.76 × 653.05
  4. Step 4: Simplify right side
    837.19x = 818,767.97
  5. Step 5: Solve for x
    x = 818,767.97/837.19
  6. Step 6: Final answer
    x = 978.00

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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.