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Finding the Fourth Proportional to 423.72, 587.61 and 410.40

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Solution

The fourth proportional to 423.72, 587.61 and 410.40 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.72 : 587.61 = 410.40 : x
  2. Step 2: Convert to fraction form
    423.72/587.61 = 410.40/x
  3. Step 3: Cross multiply
    423.72x = 587.61 × 410.40
  4. Step 4: Simplify right side
    423.72x = 241,155.14
  5. Step 5: Solve for x
    x = 241,155.14/423.72
  6. Step 6: Final answer
    x = 569.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.