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Finding the Fourth Proportional to 900.45, 1,239.50 and 776.52

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Solution

The fourth proportional to 900.45, 1,239.50 and 776.52 is: 1,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.45 : 1,239.50 = 776.52 : x
  2. Step 2: Convert to fraction form
    900.45/1,239.50 = 776.52/x
  3. Step 3: Cross multiply
    900.45x = 1,239.50 × 776.52
  4. Step 4: Simplify right side
    900.45x = 962,496.54
  5. Step 5: Solve for x
    x = 962,496.54/900.45
  6. Step 6: Final answer
    x = 1,068.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.