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Finding the Fourth Proportional to 920.41, 1,269.53 and 570.49

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Solution

The fourth proportional to 920.41, 1,269.53 and 570.49 is: 786.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.41 : 1,269.53 = 570.49 : x
  2. Step 2: Convert to fraction form
    920.41/1,269.53 = 570.49/x
  3. Step 3: Cross multiply
    920.41x = 1,269.53 × 570.49
  4. Step 4: Simplify right side
    920.41x = 724,254.17
  5. Step 5: Solve for x
    x = 724,254.17/920.41
  6. Step 6: Final answer
    x = 786.88

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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.