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Finding the Fourth Proportional to 851.88, 1,278.54 and 339.24

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Solution

The fourth proportional to 851.88, 1,278.54 and 339.24 is: 509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.88 : 1,278.54 = 339.24 : x
  2. Step 2: Convert to fraction form
    851.88/1,278.54 = 339.24/x
  3. Step 3: Cross multiply
    851.88x = 1,278.54 × 339.24
  4. Step 4: Simplify right side
    851.88x = 433,731.91
  5. Step 5: Solve for x
    x = 433,731.91/851.88
  6. Step 6: Final answer
    x = 509.15

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Double scale
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1.5x scale

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.