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Finding the Fourth Proportional to 574.36, 859.48 and 497.58

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Solution

The fourth proportional to 574.36, 859.48 and 497.58 is: 744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.36 : 859.48 = 497.58 : x
  2. Step 2: Convert to fraction form
    574.36/859.48 = 497.58/x
  3. Step 3: Cross multiply
    574.36x = 859.48 × 497.58
  4. Step 4: Simplify right side
    574.36x = 427,658.81
  5. Step 5: Solve for x
    x = 427,658.81/574.36
  6. Step 6: Final answer
    x = 744.59

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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.