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Finding the Fourth Proportional to 926.12, 1,389.54 and 515.72

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Solution

The fourth proportional to 926.12, 1,389.54 and 515.72 is: 773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.12 : 1,389.54 = 515.72 : x
  2. Step 2: Convert to fraction form
    926.12/1,389.54 = 515.72/x
  3. Step 3: Cross multiply
    926.12x = 1,389.54 × 515.72
  4. Step 4: Simplify right side
    926.12x = 716,613.57
  5. Step 5: Solve for x
    x = 716,613.57/926.12
  6. Step 6: Final answer
    x = 773.78

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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.