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Finding the Fourth Proportional to 565.38, 852.12 and 485.19

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Solution

The fourth proportional to 565.38, 852.12 and 485.19 is: 731.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.38 : 852.12 = 485.19 : x
  2. Step 2: Convert to fraction form
    565.38/852.12 = 485.19/x
  3. Step 3: Cross multiply
    565.38x = 852.12 × 485.19
  4. Step 4: Simplify right side
    565.38x = 413,440.10
  5. Step 5: Solve for x
    x = 413,440.10/565.38
  6. Step 6: Final answer
    x = 731.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.