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Finding the Fourth Proportional to 471.47, 703.05 and 461.00

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Solution

The fourth proportional to 471.47, 703.05 and 461.00 is: 687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.47 : 703.05 = 461.00 : x
  2. Step 2: Convert to fraction form
    471.47/703.05 = 461.00/x
  3. Step 3: Cross multiply
    471.47x = 703.05 × 461.00
  4. Step 4: Simplify right side
    471.47x = 324,107.81
  5. Step 5: Solve for x
    x = 324,107.81/471.47
  6. Step 6: Final answer
    x = 687.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.