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Finding the Fourth Proportional to 1,136.15, 1,567.12 and 687.88

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Solution

The fourth proportional to 1,136.15, 1,567.12 and 687.88 is: 948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.15 : 1,567.12 = 687.88 : x
  2. Step 2: Convert to fraction form
    1,136.15/1,567.12 = 687.88/x
  3. Step 3: Cross multiply
    1,136.15x = 1,567.12 × 687.88
  4. Step 4: Simplify right side
    1,136.15x = 1,077,990.51
  5. Step 5: Solve for x
    x = 1,077,990.51/1,136.15
  6. Step 6: Final answer
    x = 948.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.