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Finding the Fourth Proportional to 688.20, 1,033.58 and 590.86

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Solution

The fourth proportional to 688.20, 1,033.58 and 590.86 is: 887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.20 : 1,033.58 = 590.86 : x
  2. Step 2: Convert to fraction form
    688.20/1,033.58 = 590.86/x
  3. Step 3: Cross multiply
    688.20x = 1,033.58 × 590.86
  4. Step 4: Simplify right side
    688.20x = 610,701.08
  5. Step 5: Solve for x
    x = 610,701.08/688.20
  6. Step 6: Final answer
    x = 887.39

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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.