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Finding the Fourth Proportional to 890.24, 1,335.36 and 457.12

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Solution

The fourth proportional to 890.24, 1,335.36 and 457.12 is: 685.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.24 : 1,335.36 = 457.12 : x
  2. Step 2: Convert to fraction form
    890.24/1,335.36 = 457.12/x
  3. Step 3: Cross multiply
    890.24x = 1,335.36 × 457.12
  4. Step 4: Simplify right side
    890.24x = 610,419.76
  5. Step 5: Solve for x
    x = 610,419.76/890.24
  6. Step 6: Final answer
    x = 685.68

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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.