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Finding the Fourth Proportional to 592.18, 888.57 and 419.96

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Solution

The fourth proportional to 592.18, 888.57 and 419.96 is: 630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.18 : 888.57 = 419.96 : x
  2. Step 2: Convert to fraction form
    592.18/888.57 = 419.96/x
  3. Step 3: Cross multiply
    592.18x = 888.57 × 419.96
  4. Step 4: Simplify right side
    592.18x = 373,166.08
  5. Step 5: Solve for x
    x = 373,166.08/592.18
  6. Step 6: Final answer
    x = 630.16

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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.