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Finding the Fourth Proportional to 889.84, 1,335.37 and 428.14

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Solution

The fourth proportional to 889.84, 1,335.37 and 428.14 is: 642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.84 : 1,335.37 = 428.14 : x
  2. Step 2: Convert to fraction form
    889.84/1,335.37 = 428.14/x
  3. Step 3: Cross multiply
    889.84x = 1,335.37 × 428.14
  4. Step 4: Simplify right side
    889.84x = 571,725.31
  5. Step 5: Solve for x
    x = 571,725.31/889.84
  6. Step 6: Final answer
    x = 642.50

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Double scale
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1.5x scale

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.