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Finding the Fourth Proportional to 590.15, 811.04 and 485.06

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Solution

The fourth proportional to 590.15, 811.04 and 485.06 is: 666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.15 : 811.04 = 485.06 : x
  2. Step 2: Convert to fraction form
    590.15/811.04 = 485.06/x
  3. Step 3: Cross multiply
    590.15x = 811.04 × 485.06
  4. Step 4: Simplify right side
    590.15x = 393,396.58
  5. Step 5: Solve for x
    x = 393,396.58/590.15
  6. Step 6: Final answer
    x = 666.61

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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.