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Finding the Fourth Proportional to 688.84, 1,032.97 and 428.45

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Solution

The fourth proportional to 688.84, 1,032.97 and 428.45 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.84 : 1,032.97 = 428.45 : x
  2. Step 2: Convert to fraction form
    688.84/1,032.97 = 428.45/x
  3. Step 3: Cross multiply
    688.84x = 1,032.97 × 428.45
  4. Step 4: Simplify right side
    688.84x = 442,576.00
  5. Step 5: Solve for x
    x = 442,576.00/688.84
  6. Step 6: Final answer
    x = 642.49

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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.