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Finding the Fourth Proportional to 1,318.55, 1,978.45 and 578.07

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Solution

The fourth proportional to 1,318.55, 1,978.45 and 578.07 is: 867.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.55 : 1,978.45 = 578.07 : x
  2. Step 2: Convert to fraction form
    1,318.55/1,978.45 = 578.07/x
  3. Step 3: Cross multiply
    1,318.55x = 1,978.45 × 578.07
  4. Step 4: Simplify right side
    1,318.55x = 1,143,691.12
  5. Step 5: Solve for x
    x = 1,143,691.12/1,318.55
  6. Step 6: Final answer
    x = 867.38

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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.