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Finding the Fourth Proportional to 809.52, 1,117.24 and 455.46

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Solution

The fourth proportional to 809.52, 1,117.24 and 455.46 is: 628.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.52 : 1,117.24 = 455.46 : x
  2. Step 2: Convert to fraction form
    809.52/1,117.24 = 455.46/x
  3. Step 3: Cross multiply
    809.52x = 1,117.24 × 455.46
  4. Step 4: Simplify right side
    809.52x = 508,858.13
  5. Step 5: Solve for x
    x = 508,858.13/809.52
  6. Step 6: Final answer
    x = 628.59

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1.5x scale

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.