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Finding the Fourth Proportional to 420.12, 582.75 and 410.04

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Solution

The fourth proportional to 420.12, 582.75 and 410.04 is: 568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.12 : 582.75 = 410.04 : x
  2. Step 2: Convert to fraction form
    420.12/582.75 = 410.04/x
  3. Step 3: Cross multiply
    420.12x = 582.75 × 410.04
  4. Step 4: Simplify right side
    420.12x = 238,950.81
  5. Step 5: Solve for x
    x = 238,950.81/420.12
  6. Step 6: Final answer
    x = 568.77

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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.