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Finding the Fourth Proportional to 1,206.61, 1,810.65 and 548.95

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Solution

The fourth proportional to 1,206.61, 1,810.65 and 548.95 is: 823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.61 : 1,810.65 = 548.95 : x
  2. Step 2: Convert to fraction form
    1,206.61/1,810.65 = 548.95/x
  3. Step 3: Cross multiply
    1,206.61x = 1,810.65 × 548.95
  4. Step 4: Simplify right side
    1,206.61x = 993,956.32
  5. Step 5: Solve for x
    x = 993,956.32/1,206.61
  6. Step 6: Final answer
    x = 823.76

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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.