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Finding the Fourth Proportional to 1,384.19, 2,074.49 and 561.50

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Solution

The fourth proportional to 1,384.19, 2,074.49 and 561.50 is: 841.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.19 : 2,074.49 = 561.50 : x
  2. Step 2: Convert to fraction form
    1,384.19/2,074.49 = 561.50/x
  3. Step 3: Cross multiply
    1,384.19x = 2,074.49 × 561.50
  4. Step 4: Simplify right side
    1,384.19x = 1,164,826.14
  5. Step 5: Solve for x
    x = 1,164,826.14/1,384.19
  6. Step 6: Final answer
    x = 841.52

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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.