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Finding the Fourth Proportional to 453.47, 684.32 and 453.47

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Solution

The fourth proportional to 453.47, 684.32 and 453.47 is: 684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.47 : 684.32 = 453.47 : x
  2. Step 2: Convert to fraction form
    453.47/684.32 = 453.47/x
  3. Step 3: Cross multiply
    453.47x = 684.32 × 453.47
  4. Step 4: Simplify right side
    453.47x = 310,312.90
  5. Step 5: Solve for x
    x = 310,312.90/453.47
  6. Step 6: Final answer
    x = 684.32

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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.