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Finding the Fourth Proportional to 815.04, 1,124.56 and 465.64

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Solution

The fourth proportional to 815.04, 1,124.56 and 465.64 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.04 : 1,124.56 = 465.64 : x
  2. Step 2: Convert to fraction form
    815.04/1,124.56 = 465.64/x
  3. Step 3: Cross multiply
    815.04x = 1,124.56 × 465.64
  4. Step 4: Simplify right side
    815.04x = 523,640.12
  5. Step 5: Solve for x
    x = 523,640.12/815.04
  6. Step 6: Final answer
    x = 642.47

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