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Finding the Fourth Proportional to 809.77, 1,117.37 and 455.69

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Solution

The fourth proportional to 809.77, 1,117.37 and 455.69 is: 628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.77 : 1,117.37 = 455.69 : x
  2. Step 2: Convert to fraction form
    809.77/1,117.37 = 455.69/x
  3. Step 3: Cross multiply
    809.77x = 1,117.37 × 455.69
  4. Step 4: Simplify right side
    809.77x = 509,174.34
  5. Step 5: Solve for x
    x = 509,174.34/809.77
  6. Step 6: Final answer
    x = 628.79

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Half scale
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Double scale
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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.