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Finding the Fourth Proportional to 587.59, 810.04 and 421.74

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Solution

The fourth proportional to 587.59, 810.04 and 421.74 is: 581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.59 : 810.04 = 421.74 : x
  2. Step 2: Convert to fraction form
    587.59/810.04 = 421.74/x
  3. Step 3: Cross multiply
    587.59x = 810.04 × 421.74
  4. Step 4: Simplify right side
    587.59x = 341,626.27
  5. Step 5: Solve for x
    x = 341,626.27/587.59
  6. Step 6: Final answer
    x = 581.40

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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.