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Finding the Fourth Proportional to 654.21, 985.23 and 590.04

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Solution

The fourth proportional to 654.21, 985.23 and 590.04 is: 888.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.21 : 985.23 = 590.04 : x
  2. Step 2: Convert to fraction form
    654.21/985.23 = 590.04/x
  3. Step 3: Cross multiply
    654.21x = 985.23 × 590.04
  4. Step 4: Simplify right side
    654.21x = 581,325.11
  5. Step 5: Solve for x
    x = 581,325.11/654.21
  6. Step 6: Final answer
    x = 888.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.