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Finding the Fourth Proportional to 573.48, 859.41 and 458.19

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Solution

The fourth proportional to 573.48, 859.41 and 458.19 is: 686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 859.41 = 458.19 : x
  2. Step 2: Convert to fraction form
    573.48/859.41 = 458.19/x
  3. Step 3: Cross multiply
    573.48x = 859.41 × 458.19
  4. Step 4: Simplify right side
    573.48x = 393,773.07
  5. Step 5: Solve for x
    x = 393,773.07/573.48
  6. Step 6: Final answer
    x = 686.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.