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Finding the Fourth Proportional to 573.52, 856.37 and 476.32

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Solution

The fourth proportional to 573.52, 856.37 and 476.32 is: 711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.52 : 856.37 = 476.32 : x
  2. Step 2: Convert to fraction form
    573.52/856.37 = 476.32/x
  3. Step 3: Cross multiply
    573.52x = 856.37 × 476.32
  4. Step 4: Simplify right side
    573.52x = 407,906.16
  5. Step 5: Solve for x
    x = 407,906.16/573.52
  6. Step 6: Final answer
    x = 711.23

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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.