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Finding the Fourth Proportional to 711.66, 1,066.41 and 528.20

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Solution

The fourth proportional to 711.66, 1,066.41 and 528.20 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.66 : 1,066.41 = 528.20 : x
  2. Step 2: Convert to fraction form
    711.66/1,066.41 = 528.20/x
  3. Step 3: Cross multiply
    711.66x = 1,066.41 × 528.20
  4. Step 4: Simplify right side
    711.66x = 563,272.43
  5. Step 5: Solve for x
    x = 563,272.43/711.66
  6. Step 6: Final answer
    x = 791.49

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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.