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Finding the Fourth Proportional to 925.60, 1,395.64 and 810.40

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Solution

The fourth proportional to 925.60, 1,395.64 and 810.40 is: 1,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.60 : 1,395.64 = 810.40 : x
  2. Step 2: Convert to fraction form
    925.60/1,395.64 = 810.40/x
  3. Step 3: Cross multiply
    925.60x = 1,395.64 × 810.40
  4. Step 4: Simplify right side
    925.60x = 1,131,026.66
  5. Step 5: Solve for x
    x = 1,131,026.66/925.60
  6. Step 6: Final answer
    x = 1,221.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.