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Finding the Fourth Proportional to 693.69, 1,038.50 and 418.95

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Solution

The fourth proportional to 693.69, 1,038.50 and 418.95 is: 627.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 1,038.50 = 418.95 : x
  2. Step 2: Convert to fraction form
    693.69/1,038.50 = 418.95/x
  3. Step 3: Cross multiply
    693.69x = 1,038.50 × 418.95
  4. Step 4: Simplify right side
    693.69x = 435,077.48
  5. Step 5: Solve for x
    x = 435,077.48/693.69
  6. Step 6: Final answer
    x = 627.19

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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.