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Finding the Fourth Proportional to 691.94, 1,038.02 and 418.16

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Solution

The fourth proportional to 691.94, 1,038.02 and 418.16 is: 627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.94 : 1,038.02 = 418.16 : x
  2. Step 2: Convert to fraction form
    691.94/1,038.02 = 418.16/x
  3. Step 3: Cross multiply
    691.94x = 1,038.02 × 418.16
  4. Step 4: Simplify right side
    691.94x = 434,058.95
  5. Step 5: Solve for x
    x = 434,058.95/691.94
  6. Step 6: Final answer
    x = 627.30

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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.