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Finding the Fourth Proportional to 471.01, 709.69 and 390.53

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Solution

The fourth proportional to 471.01, 709.69 and 390.53 is: 588.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.01 : 709.69 = 390.53 : x
  2. Step 2: Convert to fraction form
    471.01/709.69 = 390.53/x
  3. Step 3: Cross multiply
    471.01x = 709.69 × 390.53
  4. Step 4: Simplify right side
    471.01x = 277,155.24
  5. Step 5: Solve for x
    x = 277,155.24/471.01
  6. Step 6: Final answer
    x = 588.43

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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.