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Finding the Fourth Proportional to 590.68, 811.72 and 563.58

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Solution

The fourth proportional to 590.68, 811.72 and 563.58 is: 774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.68 : 811.72 = 563.58 : x
  2. Step 2: Convert to fraction form
    590.68/811.72 = 563.58/x
  3. Step 3: Cross multiply
    590.68x = 811.72 × 563.58
  4. Step 4: Simplify right side
    590.68x = 457,472.15
  5. Step 5: Solve for x
    x = 457,472.15/590.68
  6. Step 6: Final answer
    x = 774.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.