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Finding the Fourth Proportional to 1,279.07, 1,918.70 and 354.70

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Solution

The fourth proportional to 1,279.07, 1,918.70 and 354.70 is: 532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.07 : 1,918.70 = 354.70 : x
  2. Step 2: Convert to fraction form
    1,279.07/1,918.70 = 354.70/x
  3. Step 3: Cross multiply
    1,279.07x = 1,918.70 × 354.70
  4. Step 4: Simplify right side
    1,279.07x = 680,562.89
  5. Step 5: Solve for x
    x = 680,562.89/1,279.07
  6. Step 6: Final answer
    x = 532.08

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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.