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Finding the Fourth Proportional to 570.69, 859.15 and 389.23

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Solution

The fourth proportional to 570.69, 859.15 and 389.23 is: 585.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 859.15 = 389.23 : x
  2. Step 2: Convert to fraction form
    570.69/859.15 = 389.23/x
  3. Step 3: Cross multiply
    570.69x = 859.15 × 389.23
  4. Step 4: Simplify right side
    570.69x = 334,405.01
  5. Step 5: Solve for x
    x = 334,405.01/570.69
  6. Step 6: Final answer
    x = 585.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.