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Finding the Fourth Proportional to 2,385.84, 3,578.36 and 654.06

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Solution

The fourth proportional to 2,385.84, 3,578.36 and 654.06 is: 980.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.84 : 3,578.36 = 654.06 : x
  2. Step 2: Convert to fraction form
    2,385.84/3,578.36 = 654.06/x
  3. Step 3: Cross multiply
    2,385.84x = 3,578.36 × 654.06
  4. Step 4: Simplify right side
    2,385.84x = 2,340,462.14
  5. Step 5: Solve for x
    x = 2,340,462.14/2,385.84
  6. Step 6: Final answer
    x = 980.98

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1.5x scale

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.