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Finding the Fourth Proportional to 926.33, 1,381.46 and 790.25

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Solution

The fourth proportional to 926.33, 1,381.46 and 790.25 is: 1,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.33 : 1,381.46 = 790.25 : x
  2. Step 2: Convert to fraction form
    926.33/1,381.46 = 790.25/x
  3. Step 3: Cross multiply
    926.33x = 1,381.46 × 790.25
  4. Step 4: Simplify right side
    926.33x = 1,091,698.77
  5. Step 5: Solve for x
    x = 1,091,698.77/926.33
  6. Step 6: Final answer
    x = 1,178.52

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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.