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Finding the Fourth Proportional to 786.72, 1,084.88 and 590.24

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Solution

The fourth proportional to 786.72, 1,084.88 and 590.24 is: 813.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.72 : 1,084.88 = 590.24 : x
  2. Step 2: Convert to fraction form
    786.72/1,084.88 = 590.24/x
  3. Step 3: Cross multiply
    786.72x = 1,084.88 × 590.24
  4. Step 4: Simplify right side
    786.72x = 640,339.57
  5. Step 5: Solve for x
    x = 640,339.57/786.72
  6. Step 6: Final answer
    x = 813.94

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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.