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Finding the Fourth Proportional to 890.37, 1,335.53 and 403.77

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Solution

The fourth proportional to 890.37, 1,335.53 and 403.77 is: 605.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.37 : 1,335.53 = 403.77 : x
  2. Step 2: Convert to fraction form
    890.37/1,335.53 = 403.77/x
  3. Step 3: Cross multiply
    890.37x = 1,335.53 × 403.77
  4. Step 4: Simplify right side
    890.37x = 539,244.93
  5. Step 5: Solve for x
    x = 539,244.93/890.37
  6. Step 6: Final answer
    x = 605.64

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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.