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Finding the Fourth Proportional to 1,133.96, 1,700.69 and 578.09

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Solution

The fourth proportional to 1,133.96, 1,700.69 and 578.09 is: 867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.96 : 1,700.69 = 578.09 : x
  2. Step 2: Convert to fraction form
    1,133.96/1,700.69 = 578.09/x
  3. Step 3: Cross multiply
    1,133.96x = 1,700.69 × 578.09
  4. Step 4: Simplify right side
    1,133.96x = 983,143.38
  5. Step 5: Solve for x
    x = 983,143.38/1,133.96
  6. Step 6: Final answer
    x = 867.00

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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.