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Finding the Fourth Proportional to 785.16, 1,082.52 and 490.32

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Solution

The fourth proportional to 785.16, 1,082.52 and 490.32 is: 676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.16 : 1,082.52 = 490.32 : x
  2. Step 2: Convert to fraction form
    785.16/1,082.52 = 490.32/x
  3. Step 3: Cross multiply
    785.16x = 1,082.52 × 490.32
  4. Step 4: Simplify right side
    785.16x = 530,781.21
  5. Step 5: Solve for x
    x = 530,781.21/785.16
  6. Step 6: Final answer
    x = 676.02

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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.