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Finding the Fourth Proportional to 591.90, 888.42 and 430.44

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Solution

The fourth proportional to 591.90, 888.42 and 430.44 is: 646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.90 : 888.42 = 430.44 : x
  2. Step 2: Convert to fraction form
    591.90/888.42 = 430.44/x
  3. Step 3: Cross multiply
    591.90x = 888.42 × 430.44
  4. Step 4: Simplify right side
    591.90x = 382,411.50
  5. Step 5: Solve for x
    x = 382,411.50/591.90
  6. Step 6: Final answer
    x = 646.07

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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.