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Finding the Fourth Proportional to 661.03, 912.66 and 590.86

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Solution

The fourth proportional to 661.03, 912.66 and 590.86 is: 815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.03 : 912.66 = 590.86 : x
  2. Step 2: Convert to fraction form
    661.03/912.66 = 590.86/x
  3. Step 3: Cross multiply
    661.03x = 912.66 × 590.86
  4. Step 4: Simplify right side
    661.03x = 539,253.15
  5. Step 5: Solve for x
    x = 539,253.15/661.03
  6. Step 6: Final answer
    x = 815.78

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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.