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Finding the Fourth Proportional to 890.32, 1,334.56 and 342.16

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Solution

The fourth proportional to 890.32, 1,334.56 and 342.16 is: 512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.32 : 1,334.56 = 342.16 : x
  2. Step 2: Convert to fraction form
    890.32/1,334.56 = 342.16/x
  3. Step 3: Cross multiply
    890.32x = 1,334.56 × 342.16
  4. Step 4: Simplify right side
    890.32x = 456,633.05
  5. Step 5: Solve for x
    x = 456,633.05/890.32
  6. Step 6: Final answer
    x = 512.89

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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.