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Finding the Fourth Proportional to 2,970.66, 4,455.99 and 749.50

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Solution

The fourth proportional to 2,970.66, 4,455.99 and 749.50 is: 1,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.66 : 4,455.99 = 749.50 : x
  2. Step 2: Convert to fraction form
    2,970.66/4,455.99 = 749.50/x
  3. Step 3: Cross multiply
    2,970.66x = 4,455.99 × 749.50
  4. Step 4: Simplify right side
    2,970.66x = 3,339,776.32
  5. Step 5: Solve for x
    x = 3,339,776.32/2,970.66
  6. Step 6: Final answer
    x = 1,124.25

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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.