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Finding the Fourth Proportional to 815.77, 1,125.75 and 442.75

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Solution

The fourth proportional to 815.77, 1,125.75 and 442.75 is: 610.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.77 : 1,125.75 = 442.75 : x
  2. Step 2: Convert to fraction form
    815.77/1,125.75 = 442.75/x
  3. Step 3: Cross multiply
    815.77x = 1,125.75 × 442.75
  4. Step 4: Simplify right side
    815.77x = 498,425.81
  5. Step 5: Solve for x
    x = 498,425.81/815.77
  6. Step 6: Final answer
    x = 610.99

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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.