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Finding the Fourth Proportional to 473.01, 712.71 and 392.53

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Solution

The fourth proportional to 473.01, 712.71 and 392.53 is: 591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.01 : 712.71 = 392.53 : x
  2. Step 2: Convert to fraction form
    473.01/712.71 = 392.53/x
  3. Step 3: Cross multiply
    473.01x = 712.71 × 392.53
  4. Step 4: Simplify right side
    473.01x = 279,760.06
  5. Step 5: Solve for x
    x = 279,760.06/473.01
  6. Step 6: Final answer
    x = 591.45

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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.