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Finding the Fourth Proportional to 924.30, 1,272.60 and 776.61

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Solution

The fourth proportional to 924.30, 1,272.60 and 776.61 is: 1,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.30 : 1,272.60 = 776.61 : x
  2. Step 2: Convert to fraction form
    924.30/1,272.60 = 776.61/x
  3. Step 3: Cross multiply
    924.30x = 1,272.60 × 776.61
  4. Step 4: Simplify right side
    924.30x = 988,313.89
  5. Step 5: Solve for x
    x = 988,313.89/924.30
  6. Step 6: Final answer
    x = 1,069.26

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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.