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Finding the Fourth Proportional to 1,315.84, 1,807.73 and 1,177.76

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Solution

The fourth proportional to 1,315.84, 1,807.73 and 1,177.76 is: 1,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.84 : 1,807.73 = 1,177.76 : x
  2. Step 2: Convert to fraction form
    1,315.84/1,807.73 = 1,177.76/x
  3. Step 3: Cross multiply
    1,315.84x = 1,807.73 × 1,177.76
  4. Step 4: Simplify right side
    1,315.84x = 2,129,072.08
  5. Step 5: Solve for x
    x = 2,129,072.08/1,315.84
  6. Step 6: Final answer
    x = 1,618.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.