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Finding the Fourth Proportional to 663.05, 914.33 and 570.11

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Solution

The fourth proportional to 663.05, 914.33 and 570.11 is: 786.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.05 : 914.33 = 570.11 : x
  2. Step 2: Convert to fraction form
    663.05/914.33 = 570.11/x
  3. Step 3: Cross multiply
    663.05x = 914.33 × 570.11
  4. Step 4: Simplify right side
    663.05x = 521,261.25
  5. Step 5: Solve for x
    x = 521,261.25/663.05
  6. Step 6: Final answer
    x = 786.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.