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Finding the Fourth Proportional to 2,970.84, 4,456.02 and 749.64

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Solution

The fourth proportional to 2,970.84, 4,456.02 and 749.64 is: 1,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.84 : 4,456.02 = 749.64 : x
  2. Step 2: Convert to fraction form
    2,970.84/4,456.02 = 749.64/x
  3. Step 3: Cross multiply
    2,970.84x = 4,456.02 × 749.64
  4. Step 4: Simplify right side
    2,970.84x = 3,340,410.83
  5. Step 5: Solve for x
    x = 3,340,410.83/2,970.84
  6. Step 6: Final answer
    x = 1,124.40

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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.