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Finding the Fourth Proportional to 572.04, 859.66 and 340.97

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Solution

The fourth proportional to 572.04, 859.66 and 340.97 is: 512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.04 : 859.66 = 340.97 : x
  2. Step 2: Convert to fraction form
    572.04/859.66 = 340.97/x
  3. Step 3: Cross multiply
    572.04x = 859.66 × 340.97
  4. Step 4: Simplify right side
    572.04x = 293,113.97
  5. Step 5: Solve for x
    x = 293,113.97/572.04
  6. Step 6: Final answer
    x = 512.40

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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.