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Finding the Fourth Proportional to 570.62, 849.96 and 563.06

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Solution

The fourth proportional to 570.62, 849.96 and 563.06 is: 838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.62 : 849.96 = 563.06 : x
  2. Step 2: Convert to fraction form
    570.62/849.96 = 563.06/x
  3. Step 3: Cross multiply
    570.62x = 849.96 × 563.06
  4. Step 4: Simplify right side
    570.62x = 478,578.48
  5. Step 5: Solve for x
    x = 478,578.48/570.62
  6. Step 6: Final answer
    x = 838.70

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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.