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Finding the Fourth Proportional to 1,207.39, 1,810.88 and 341.50

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Solution

The fourth proportional to 1,207.39, 1,810.88 and 341.50 is: 512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.39 : 1,810.88 = 341.50 : x
  2. Step 2: Convert to fraction form
    1,207.39/1,810.88 = 341.50/x
  3. Step 3: Cross multiply
    1,207.39x = 1,810.88 × 341.50
  4. Step 4: Simplify right side
    1,207.39x = 618,415.52
  5. Step 5: Solve for x
    x = 618,415.52/1,207.39
  6. Step 6: Final answer
    x = 512.19

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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.