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Finding the Fourth Proportional to 1,187.84, 1,776.90 and 956.99

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Solution

The fourth proportional to 1,187.84, 1,776.90 and 956.99 is: 1,431.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.84 : 1,776.90 = 956.99 : x
  2. Step 2: Convert to fraction form
    1,187.84/1,776.90 = 956.99/x
  3. Step 3: Cross multiply
    1,187.84x = 1,776.90 × 956.99
  4. Step 4: Simplify right side
    1,187.84x = 1,700,475.53
  5. Step 5: Solve for x
    x = 1,700,475.53/1,187.84
  6. Step 6: Final answer
    x = 1,431.57

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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.