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Finding the Fourth Proportional to 785.77, 1,177.03 and 460.96

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Solution

The fourth proportional to 785.77, 1,177.03 and 460.96 is: 690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.77 : 1,177.03 = 460.96 : x
  2. Step 2: Convert to fraction form
    785.77/1,177.03 = 460.96/x
  3. Step 3: Cross multiply
    785.77x = 1,177.03 × 460.96
  4. Step 4: Simplify right side
    785.77x = 542,563.75
  5. Step 5: Solve for x
    x = 542,563.75/785.77
  6. Step 6: Final answer
    x = 690.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.