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Finding the Fourth Proportional to 572.69, 857.52 and 456.36

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Solution

The fourth proportional to 572.69, 857.52 and 456.36 is: 683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.69 : 857.52 = 456.36 : x
  2. Step 2: Convert to fraction form
    572.69/857.52 = 456.36/x
  3. Step 3: Cross multiply
    572.69x = 857.52 × 456.36
  4. Step 4: Simplify right side
    572.69x = 391,337.83
  5. Step 5: Solve for x
    x = 391,337.83/572.69
  6. Step 6: Final answer
    x = 683.33

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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.