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Finding the Fourth Proportional to 591.36, 886.32 and 420

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Solution

The fourth proportional to 591.36, 886.32 and 420 is: 629.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.36 : 886.32 = 420 : x
  2. Step 2: Convert to fraction form
    591.36/886.32 = 420/x
  3. Step 3: Cross multiply
    591.36x = 886.32 × 420
  4. Step 4: Simplify right side
    591.36x = 372,254.40
  5. Step 5: Solve for x
    x = 372,254.40/591.36
  6. Step 6: Final answer
    x = 629.49

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1.5x scale

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.