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Finding the Fourth Proportional to 1,039.48, 1,435.50 and 818.06

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Solution

The fourth proportional to 1,039.48, 1,435.50 and 818.06 is: 1,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.48 : 1,435.50 = 818.06 : x
  2. Step 2: Convert to fraction form
    1,039.48/1,435.50 = 818.06/x
  3. Step 3: Cross multiply
    1,039.48x = 1,435.50 × 818.06
  4. Step 4: Simplify right side
    1,039.48x = 1,174,317.95
  5. Step 5: Solve for x
    x = 1,174,317.95/1,039.48
  6. Step 6: Final answer
    x = 1,129.72

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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.