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Finding the Fourth Proportional to 573.48, 856.17 and 562.14

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Solution

The fourth proportional to 573.48, 856.17 and 562.14 is: 839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.48 : 856.17 = 562.14 : x
  2. Step 2: Convert to fraction form
    573.48/856.17 = 562.14/x
  3. Step 3: Cross multiply
    573.48x = 856.17 × 562.14
  4. Step 4: Simplify right side
    573.48x = 481,287.40
  5. Step 5: Solve for x
    x = 481,287.40/573.48
  6. Step 6: Final answer
    x = 839.24

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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.