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Finding the Fourth Proportional to 573.71, 859.74 and 458.51

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Solution

The fourth proportional to 573.71, 859.74 and 458.51 is: 687.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.71 : 859.74 = 458.51 : x
  2. Step 2: Convert to fraction form
    573.71/859.74 = 458.51/x
  3. Step 3: Cross multiply
    573.71x = 859.74 × 458.51
  4. Step 4: Simplify right side
    573.71x = 394,199.39
  5. Step 5: Solve for x
    x = 394,199.39/573.71
  6. Step 6: Final answer
    x = 687.11

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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.