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Finding the Fourth Proportional to 574, 859.45 and 472.51

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Solution

The fourth proportional to 574, 859.45 and 472.51 is: 707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    574 : 859.45 = 472.51 : x
  2. Step 2: Convert to fraction form
    574/859.45 = 472.51/x
  3. Step 3: Cross multiply
    574x = 859.45 × 472.51
  4. Step 4: Simplify right side
    574x = 406,098.72
  5. Step 5: Solve for x
    x = 406,098.72/574
  6. Step 6: Final answer
    x = 707.49

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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.