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Finding the Fourth Proportional to 572.15, 852.93 and 563.26

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Solution

The fourth proportional to 572.15, 852.93 and 563.26 is: 839.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.15 : 852.93 = 563.26 : x
  2. Step 2: Convert to fraction form
    572.15/852.93 = 563.26/x
  3. Step 3: Cross multiply
    572.15x = 852.93 × 563.26
  4. Step 4: Simplify right side
    572.15x = 480,421.35
  5. Step 5: Solve for x
    x = 480,421.35/572.15
  6. Step 6: Final answer
    x = 839.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.