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Finding the Fourth Proportional to 926.64, 1,390.56 and 852.48

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Solution

The fourth proportional to 926.64, 1,390.56 and 852.48 is: 1,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,390.56 = 852.48 : x
  2. Step 2: Convert to fraction form
    926.64/1,390.56 = 852.48/x
  3. Step 3: Cross multiply
    926.64x = 1,390.56 × 852.48
  4. Step 4: Simplify right side
    926.64x = 1,185,424.59
  5. Step 5: Solve for x
    x = 1,185,424.59/926.64
  6. Step 6: Final answer
    x = 1,279.27

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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.