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Finding the Fourth Proportional to 814.64, 1,124.28 and 465.33

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Solution

The fourth proportional to 814.64, 1,124.28 and 465.33 is: 642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.64 : 1,124.28 = 465.33 : x
  2. Step 2: Convert to fraction form
    814.64/1,124.28 = 465.33/x
  3. Step 3: Cross multiply
    814.64x = 1,124.28 × 465.33
  4. Step 4: Simplify right side
    814.64x = 523,159.10
  5. Step 5: Solve for x
    x = 523,159.10/814.64
  6. Step 6: Final answer
    x = 642.20

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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.