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Finding the Fourth Proportional to 662.66, 991.07 and 590.06

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Solution

The fourth proportional to 662.66, 991.07 and 590.06 is: 882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.66 : 991.07 = 590.06 : x
  2. Step 2: Convert to fraction form
    662.66/991.07 = 590.06/x
  3. Step 3: Cross multiply
    662.66x = 991.07 × 590.06
  4. Step 4: Simplify right side
    662.66x = 584,782.86
  5. Step 5: Solve for x
    x = 584,782.86/662.66
  6. Step 6: Final answer
    x = 882.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.