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Finding the Fourth Proportional to 1,318.69, 1,978.05 and 497.53

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Solution

The fourth proportional to 1,318.69, 1,978.05 and 497.53 is: 746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.69 : 1,978.05 = 497.53 : x
  2. Step 2: Convert to fraction form
    1,318.69/1,978.05 = 497.53/x
  3. Step 3: Cross multiply
    1,318.69x = 1,978.05 × 497.53
  4. Step 4: Simplify right side
    1,318.69x = 984,139.22
  5. Step 5: Solve for x
    x = 984,139.22/1,318.69
  6. Step 6: Final answer
    x = 746.30

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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.