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Finding the Fourth Proportional to 573.57, 856.62 and 458.19

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Solution

The fourth proportional to 573.57, 856.62 and 458.19 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.57 : 856.62 = 458.19 : x
  2. Step 2: Convert to fraction form
    573.57/856.62 = 458.19/x
  3. Step 3: Cross multiply
    573.57x = 856.62 × 458.19
  4. Step 4: Simplify right side
    573.57x = 392,494.72
  5. Step 5: Solve for x
    x = 392,494.72/573.57
  6. Step 6: Final answer
    x = 684.30

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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.