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Finding the Fourth Proportional to 1,230.95, 1,698.68 and 671.40

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Solution

The fourth proportional to 1,230.95, 1,698.68 and 671.40 is: 926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.95 : 1,698.68 = 671.40 : x
  2. Step 2: Convert to fraction form
    1,230.95/1,698.68 = 671.40/x
  3. Step 3: Cross multiply
    1,230.95x = 1,698.68 × 671.40
  4. Step 4: Simplify right side
    1,230.95x = 1,140,493.75
  5. Step 5: Solve for x
    x = 1,140,493.75/1,230.95
  6. Step 6: Final answer
    x = 926.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.