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Finding the Fourth Proportional to 665.94, 914.10 and 590.61

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Solution

The fourth proportional to 665.94, 914.10 and 590.61 is: 810.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 914.10 = 590.61 : x
  2. Step 2: Convert to fraction form
    665.94/914.10 = 590.61/x
  3. Step 3: Cross multiply
    665.94x = 914.10 × 590.61
  4. Step 4: Simplify right side
    665.94x = 539,873.51
  5. Step 5: Solve for x
    x = 539,873.51/665.94
  6. Step 6: Final answer
    x = 810.70

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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.