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Finding the Fourth Proportional to 743.35, 1,115.03 and 570.32

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Solution

The fourth proportional to 743.35, 1,115.03 and 570.32 is: 855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.35 : 1,115.03 = 570.32 : x
  2. Step 2: Convert to fraction form
    743.35/1,115.03 = 570.32/x
  3. Step 3: Cross multiply
    743.35x = 1,115.03 × 570.32
  4. Step 4: Simplify right side
    743.35x = 635,928.12
  5. Step 5: Solve for x
    x = 635,928.12/743.35
  6. Step 6: Final answer
    x = 855.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.