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Finding the Fourth Proportional to 926.34, 1,278.33 and 512.34

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Solution

The fourth proportional to 926.34, 1,278.33 and 512.34 is: 707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.34 : 1,278.33 = 512.34 : x
  2. Step 2: Convert to fraction form
    926.34/1,278.33 = 512.34/x
  3. Step 3: Cross multiply
    926.34x = 1,278.33 × 512.34
  4. Step 4: Simplify right side
    926.34x = 654,939.59
  5. Step 5: Solve for x
    x = 654,939.59/926.34
  6. Step 6: Final answer
    x = 707.02

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1.5x scale

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.