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Finding the Fourth Proportional to 664.12, 913.20 and 590.30

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Solution

The fourth proportional to 664.12, 913.20 and 590.30 is: 811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.12 : 913.20 = 590.30 : x
  2. Step 2: Convert to fraction form
    664.12/913.20 = 590.30/x
  3. Step 3: Cross multiply
    664.12x = 913.20 × 590.30
  4. Step 4: Simplify right side
    664.12x = 539,061.96
  5. Step 5: Solve for x
    x = 539,061.96/664.12
  6. Step 6: Final answer
    x = 811.70

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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.