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Finding the Fourth Proportional to 1,210.78, 1,815.93 and 344.89

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Solution

The fourth proportional to 1,210.78, 1,815.93 and 344.89 is: 517.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.78 : 1,815.93 = 344.89 : x
  2. Step 2: Convert to fraction form
    1,210.78/1,815.93 = 344.89/x
  3. Step 3: Cross multiply
    1,210.78x = 1,815.93 × 344.89
  4. Step 4: Simplify right side
    1,210.78x = 626,296.10
  5. Step 5: Solve for x
    x = 626,296.10/1,210.78
  6. Step 6: Final answer
    x = 517.27

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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.