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Finding the Fourth Proportional to 591.03, 886.57 and 417.92

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Solution

The fourth proportional to 591.03, 886.57 and 417.92 is: 626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.03 : 886.57 = 417.92 : x
  2. Step 2: Convert to fraction form
    591.03/886.57 = 417.92/x
  3. Step 3: Cross multiply
    591.03x = 886.57 × 417.92
  4. Step 4: Simplify right side
    591.03x = 370,509.86
  5. Step 5: Solve for x
    x = 370,509.86/591.03
  6. Step 6: Final answer
    x = 626.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.