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Finding the Fourth Proportional to 837.77, 1,250.52 and 776

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Solution

The fourth proportional to 837.77, 1,250.52 and 776 is: 1,158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.77 : 1,250.52 = 776 : x
  2. Step 2: Convert to fraction form
    837.77/1,250.52 = 776/x
  3. Step 3: Cross multiply
    837.77x = 1,250.52 × 776
  4. Step 4: Simplify right side
    837.77x = 970,405.46
  5. Step 5: Solve for x
    x = 970,405.46/837.77
  6. Step 6: Final answer
    x = 1,158.33

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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.