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Finding the Fourth Proportional to 571.41, 857.16 and 564.30

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Solution

The fourth proportional to 571.41, 857.16 and 564.30 is: 846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 857.16 = 564.30 : x
  2. Step 2: Convert to fraction form
    571.41/857.16 = 564.30/x
  3. Step 3: Cross multiply
    571.41x = 857.16 × 564.30
  4. Step 4: Simplify right side
    571.41x = 483,695.39
  5. Step 5: Solve for x
    x = 483,695.39/571.41
  6. Step 6: Final answer
    x = 846.49

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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.