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Finding the Fourth Proportional to 920.08, 1,269.84 and 570.88

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Solution

The fourth proportional to 920.08, 1,269.84 and 570.88 is: 787.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.08 : 1,269.84 = 570.88 : x
  2. Step 2: Convert to fraction form
    920.08/1,269.84 = 570.88/x
  3. Step 3: Cross multiply
    920.08x = 1,269.84 × 570.88
  4. Step 4: Simplify right side
    920.08x = 724,926.26
  5. Step 5: Solve for x
    x = 724,926.26/920.08
  6. Step 6: Final answer
    x = 787.89

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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.