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Finding the Fourth Proportional to 1,208.13, 1,810.58 and 687.93

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Solution

The fourth proportional to 1,208.13, 1,810.58 and 687.93 is: 1,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.13 : 1,810.58 = 687.93 : x
  2. Step 2: Convert to fraction form
    1,208.13/1,810.58 = 687.93/x
  3. Step 3: Cross multiply
    1,208.13x = 1,810.58 × 687.93
  4. Step 4: Simplify right side
    1,208.13x = 1,245,552.30
  5. Step 5: Solve for x
    x = 1,245,552.30/1,208.13
  6. Step 6: Final answer
    x = 1,030.98

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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.