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Finding the Fourth Proportional to 587.85, 810.49 and 420.01

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Solution

The fourth proportional to 587.85, 810.49 and 420.01 is: 579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.85 : 810.49 = 420.01 : x
  2. Step 2: Convert to fraction form
    587.85/810.49 = 420.01/x
  3. Step 3: Cross multiply
    587.85x = 810.49 × 420.01
  4. Step 4: Simplify right side
    587.85x = 340,410.88
  5. Step 5: Solve for x
    x = 340,410.88/587.85
  6. Step 6: Final answer
    x = 579.07

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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.