Home / 688.20-1,030.93-414.16

Finding the Fourth Proportional to 688.20, 1,030.93 and 414.16

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Solution

The fourth proportional to 688.20, 1,030.93 and 414.16 is: 620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.20 : 1,030.93 = 414.16 : x
  2. Step 2: Convert to fraction form
    688.20/1,030.93 = 414.16/x
  3. Step 3: Cross multiply
    688.20x = 1,030.93 × 414.16
  4. Step 4: Simplify right side
    688.20x = 426,972.16
  5. Step 5: Solve for x
    x = 426,972.16/688.20
  6. Step 6: Final answer
    x = 620.42

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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.