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Finding the Fourth Proportional to 587.02, 810.33 and 421.30

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Solution

The fourth proportional to 587.02, 810.33 and 421.30 is: 581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 810.33 = 421.30 : x
  2. Step 2: Convert to fraction form
    587.02/810.33 = 421.30/x
  3. Step 3: Cross multiply
    587.02x = 810.33 × 421.30
  4. Step 4: Simplify right side
    587.02x = 341,392.03
  5. Step 5: Solve for x
    x = 341,392.03/587.02
  6. Step 6: Final answer
    x = 581.57

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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.