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Finding the Fourth Proportional to 890.42, 1,228.64 and 596.12

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Solution

The fourth proportional to 890.42, 1,228.64 and 596.12 is: 822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.42 : 1,228.64 = 596.12 : x
  2. Step 2: Convert to fraction form
    890.42/1,228.64 = 596.12/x
  3. Step 3: Cross multiply
    890.42x = 1,228.64 × 596.12
  4. Step 4: Simplify right side
    890.42x = 732,416.88
  5. Step 5: Solve for x
    x = 732,416.88/890.42
  6. Step 6: Final answer
    x = 822.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.