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Finding the Fourth Proportional to 1,966.75, 2,950.59 and 580.11

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Solution

The fourth proportional to 1,966.75, 2,950.59 and 580.11 is: 870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.75 : 2,950.59 = 580.11 : x
  2. Step 2: Convert to fraction form
    1,966.75/2,950.59 = 580.11/x
  3. Step 3: Cross multiply
    1,966.75x = 2,950.59 × 580.11
  4. Step 4: Simplify right side
    1,966.75x = 1,711,666.76
  5. Step 5: Solve for x
    x = 1,711,666.76/1,966.75
  6. Step 6: Final answer
    x = 870.30

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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.