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Finding the Fourth Proportional to 890.58, 1,335.66 and 428.07

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Solution

The fourth proportional to 890.58, 1,335.66 and 428.07 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 1,335.66 = 428.07 : x
  2. Step 2: Convert to fraction form
    890.58/1,335.66 = 428.07/x
  3. Step 3: Cross multiply
    890.58x = 1,335.66 × 428.07
  4. Step 4: Simplify right side
    890.58x = 571,749.30
  5. Step 5: Solve for x
    x = 571,749.30/890.58
  6. Step 6: Final answer
    x = 642.00

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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.