Home / 688.03-1,032.55-428.41

Finding the Fourth Proportional to 688.03, 1,032.55 and 428.41

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Solution

The fourth proportional to 688.03, 1,032.55 and 428.41 is: 642.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.03 : 1,032.55 = 428.41 : x
  2. Step 2: Convert to fraction form
    688.03/1,032.55 = 428.41/x
  3. Step 3: Cross multiply
    688.03x = 1,032.55 × 428.41
  4. Step 4: Simplify right side
    688.03x = 442,354.75
  5. Step 5: Solve for x
    x = 442,354.75/688.03
  6. Step 6: Final answer
    x = 642.93

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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.